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Finding the Fourth Proportional to 55,863.81, 77,092.16 and 30,713.31

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Solution

The fourth proportional to 55,863.81, 77,092.16 and 30,713.31 is: 42,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863.81 : 77,092.16 = 30,713.31 : x
  2. Step 2: Convert to fraction form
    55,863.81/77,092.16 = 30,713.31/x
  3. Step 3: Cross multiply
    55,863.81x = 77,092.16 × 30,713.31
  4. Step 4: Simplify right side
    55,863.81x = 2,367,755,255.08
  5. Step 5: Solve for x
    x = 2,367,755,255.08/55,863.81
  6. Step 6: Final answer
    x = 42,384.42

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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.