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Finding the Fourth Proportional to 61,572.32, 92,329.77 and 31,982.21

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Solution

The fourth proportional to 61,572.32, 92,329.77 and 31,982.21 is: 47,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,572.32 : 92,329.77 = 31,982.21 : x
  2. Step 2: Convert to fraction form
    61,572.32/92,329.77 = 31,982.21/x
  3. Step 3: Cross multiply
    61,572.32x = 92,329.77 × 31,982.21
  4. Step 4: Simplify right side
    61,572.32x = 2,952,910,097.91
  5. Step 5: Solve for x
    x = 2,952,910,097.91/61,572.32
  6. Step 6: Final answer
    x = 47,958.40

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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.