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Finding the Fourth Proportional to 48,331.67, 72,550.54 and 38,400.24

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Solution

The fourth proportional to 48,331.67, 72,550.54 and 38,400.24 is: 57,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,331.67 : 72,550.54 = 38,400.24 : x
  2. Step 2: Convert to fraction form
    48,331.67/72,550.54 = 38,400.24/x
  3. Step 3: Cross multiply
    48,331.67x = 72,550.54 × 38,400.24
  4. Step 4: Simplify right side
    48,331.67x = 2,785,958,252.19
  5. Step 5: Solve for x
    x = 2,785,958,252.19/48,331.67
  6. Step 6: Final answer
    x = 57,642.50

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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.