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Finding the Fourth Proportional to 47,398.38, 65,422.80 and 29,482.74

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Solution

The fourth proportional to 47,398.38, 65,422.80 and 29,482.74 is: 40,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398.38 : 65,422.80 = 29,482.74 : x
  2. Step 2: Convert to fraction form
    47,398.38/65,422.80 = 29,482.74/x
  3. Step 3: Cross multiply
    47,398.38x = 65,422.80 × 29,482.74
  4. Step 4: Simplify right side
    47,398.38x = 1,928,843,402.47
  5. Step 5: Solve for x
    x = 1,928,843,402.47/47,398.38
  6. Step 6: Final answer
    x = 40,694.29

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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.