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Finding the Fourth Proportional to 48,595.80, 67,074.73 and 31,642.40

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Solution

The fourth proportional to 48,595.80, 67,074.73 and 31,642.40 is: 43,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,595.80 : 67,074.73 = 31,642.40 : x
  2. Step 2: Convert to fraction form
    48,595.80/67,074.73 = 31,642.40/x
  3. Step 3: Cross multiply
    48,595.80x = 67,074.73 × 31,642.40
  4. Step 4: Simplify right side
    48,595.80x = 2,122,405,022.07
  5. Step 5: Solve for x
    x = 2,122,405,022.07/48,595.80
  6. Step 6: Final answer
    x = 43,674.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.