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Finding the Fourth Proportional to 56,281.92, 84,396.96 and 31,657.92

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Solution

The fourth proportional to 56,281.92, 84,396.96 and 31,657.92 is: 47,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,281.92 : 84,396.96 = 31,657.92 : x
  2. Step 2: Convert to fraction form
    56,281.92/84,396.96 = 31,657.92/x
  3. Step 3: Cross multiply
    56,281.92x = 84,396.96 × 31,657.92
  4. Step 4: Simplify right side
    56,281.92x = 2,671,832,207.92
  5. Step 5: Solve for x
    x = 2,671,832,207.92/56,281.92
  6. Step 6: Final answer
    x = 47,472.30

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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.