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Finding the Fourth Proportional to 56,459.68, 77,951.12 and 38,548.16

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Solution

The fourth proportional to 56,459.68, 77,951.12 and 38,548.16 is: 53,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459.68 : 77,951.12 = 38,548.16 : x
  2. Step 2: Convert to fraction form
    56,459.68/77,951.12 = 38,548.16/x
  3. Step 3: Cross multiply
    56,459.68x = 77,951.12 × 38,548.16
  4. Step 4: Simplify right side
    56,459.68x = 3,004,872,245.94
  5. Step 5: Solve for x
    x = 3,004,872,245.94/56,459.68
  6. Step 6: Final answer
    x = 53,221.56

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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.