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Finding the Fourth Proportional to 60,932, 84,097.68 and 34,436

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Solution

The fourth proportional to 60,932, 84,097.68 and 34,436 is: 47,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,932 : 84,097.68 = 34,436 : x
  2. Step 2: Convert to fraction form
    60,932/84,097.68 = 34,436/x
  3. Step 3: Cross multiply
    60,932x = 84,097.68 × 34,436
  4. Step 4: Simplify right side
    60,932x = 2,895,987,708.48
  5. Step 5: Solve for x
    x = 2,895,987,708.48/60,932
  6. Step 6: Final answer
    x = 47,528.19

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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.