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Finding the Fourth Proportional to 48,169.80, 72,206.10 and 21,893.40

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Solution

The fourth proportional to 48,169.80, 72,206.10 and 21,893.40 is: 32,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,169.80 : 72,206.10 = 21,893.40 : x
  2. Step 2: Convert to fraction form
    48,169.80/72,206.10 = 21,893.40/x
  3. Step 3: Cross multiply
    48,169.80x = 72,206.10 × 21,893.40
  4. Step 4: Simplify right side
    48,169.80x = 1,580,837,029.74
  5. Step 5: Solve for x
    x = 1,580,837,029.74/48,169.80
  6. Step 6: Final answer
    x = 32,818.01

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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.