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Finding the Fourth Proportional to 47,462.40, 65,470.08 and 29,560.32

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Solution

The fourth proportional to 47,462.40, 65,470.08 and 29,560.32 is: 40,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,462.40 : 65,470.08 = 29,560.32 : x
  2. Step 2: Convert to fraction form
    47,462.40/65,470.08 = 29,560.32/x
  3. Step 3: Cross multiply
    47,462.40x = 65,470.08 × 29,560.32
  4. Step 4: Simplify right side
    47,462.40x = 1,935,316,515.23
  5. Step 5: Solve for x
    x = 1,935,316,515.23/47,462.40
  6. Step 6: Final answer
    x = 40,775.78

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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.