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Finding the Fourth Proportional to 56,471.92, 77,931.29 and 31,321.42

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Solution

The fourth proportional to 56,471.92, 77,931.29 and 31,321.42 is: 43,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.92 : 77,931.29 = 31,321.42 : x
  2. Step 2: Convert to fraction form
    56,471.92/77,931.29 = 31,321.42/x
  3. Step 3: Cross multiply
    56,471.92x = 77,931.29 × 31,321.42
  4. Step 4: Simplify right side
    56,471.92x = 2,440,918,548.71
  5. Step 5: Solve for x
    x = 2,440,918,548.71/56,471.92
  6. Step 6: Final answer
    x = 43,223.58

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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.