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Finding the Fourth Proportional to 56,403.92, 77,829 and 34,915.28

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Solution

The fourth proportional to 56,403.92, 77,829 and 34,915.28 is: 48,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,403.92 : 77,829 = 34,915.28 : x
  2. Step 2: Convert to fraction form
    56,403.92/77,829 = 34,915.28/x
  3. Step 3: Cross multiply
    56,403.92x = 77,829 × 34,915.28
  4. Step 4: Simplify right side
    56,403.92x = 2,717,421,327.12
  5. Step 5: Solve for x
    x = 2,717,421,327.12/56,403.92
  6. Step 6: Final answer
    x = 48,177.88

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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.