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Finding the Fourth Proportional to 56,327.68, 77,731.92 and 31,177.12

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Solution

The fourth proportional to 56,327.68, 77,731.92 and 31,177.12 is: 43,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,327.68 : 77,731.92 = 31,177.12 : x
  2. Step 2: Convert to fraction form
    56,327.68/77,731.92 = 31,177.12/x
  3. Step 3: Cross multiply
    56,327.68x = 77,731.92 × 31,177.12
  4. Step 4: Simplify right side
    56,327.68x = 2,423,457,397.67
  5. Step 5: Solve for x
    x = 2,423,457,397.67/56,327.68
  6. Step 6: Final answer
    x = 43,024.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.