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Finding the Fourth Proportional to 47,346.96, 65,314.20 and 38,404.56

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Solution

The fourth proportional to 47,346.96, 65,314.20 and 38,404.56 is: 52,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,346.96 : 65,314.20 = 38,404.56 : x
  2. Step 2: Convert to fraction form
    47,346.96/65,314.20 = 38,404.56/x
  3. Step 3: Cross multiply
    47,346.96x = 65,314.20 × 38,404.56
  4. Step 4: Simplify right side
    47,346.96x = 2,508,363,112.75
  5. Step 5: Solve for x
    x = 2,508,363,112.75/47,346.96
  6. Step 6: Final answer
    x = 52,978.34

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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.