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Finding the Fourth Proportional to 47,761.60, 65,892.12 and 27,614.76

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Solution

The fourth proportional to 47,761.60, 65,892.12 and 27,614.76 is: 38,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,761.60 : 65,892.12 = 27,614.76 : x
  2. Step 2: Convert to fraction form
    47,761.60/65,892.12 = 27,614.76/x
  3. Step 3: Cross multiply
    47,761.60x = 65,892.12 × 27,614.76
  4. Step 4: Simplify right side
    47,761.60x = 1,819,595,079.69
  5. Step 5: Solve for x
    x = 1,819,595,079.69/47,761.60
  6. Step 6: Final answer
    x = 38,097.45

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1.5x scale

Why These Related Problems?

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