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Finding the Fourth Proportional to 61,468.80, 84,831.48 and 34,614.24

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Solution

The fourth proportional to 61,468.80, 84,831.48 and 34,614.24 is: 47,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,468.80 : 84,831.48 = 34,614.24 : x
  2. Step 2: Convert to fraction form
    61,468.80/84,831.48 = 34,614.24/x
  3. Step 3: Cross multiply
    61,468.80x = 84,831.48 × 34,614.24
  4. Step 4: Simplify right side
    61,468.80x = 2,936,377,208.28
  5. Step 5: Solve for x
    x = 2,936,377,208.28/61,468.80
  6. Step 6: Final answer
    x = 47,770.21

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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.