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Finding the Fourth Proportional to 47,397.76, 65,419.28 and 29,500

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Solution

The fourth proportional to 47,397.76, 65,419.28 and 29,500 is: 40,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,397.76 : 65,419.28 = 29,500 : x
  2. Step 2: Convert to fraction form
    47,397.76/65,419.28 = 29,500/x
  3. Step 3: Cross multiply
    47,397.76x = 65,419.28 × 29,500
  4. Step 4: Simplify right side
    47,397.76x = 1,929,868,760
  5. Step 5: Solve for x
    x = 1,929,868,760/47,397.76
  6. Step 6: Final answer
    x = 40,716.45

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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.