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Finding the Fourth Proportional to 48,282,400.80, 72,407,854.80 and 17,986,327.20

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Solution

The fourth proportional to 48,282,400.80, 72,407,854.80 and 17,986,327.20 is: 26,973,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,282,400.80 : 72,407,854.80 = 17,986,327.20 : x
  2. Step 2: Convert to fraction form
    48,282,400.80/72,407,854.80 = 17,986,327.20/x
  3. Step 3: Cross multiply
    48,282,400.80x = 72,407,854.80 × 17,986,327.20
  4. Step 4: Simplify right side
    48,282,400.80x = 1,302,351,368,282,890.50
  5. Step 5: Solve for x
    x = 1,302,351,368,282,890.50/48,282,400.80
  6. Step 6: Final answer
    x = 26,973,624.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.