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Finding the Fourth Proportional to 71,176.44, 106,755.48 and 31,724.64

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Solution

The fourth proportional to 71,176.44, 106,755.48 and 31,724.64 is: 47,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,176.44 : 106,755.48 = 31,724.64 : x
  2. Step 2: Convert to fraction form
    71,176.44/106,755.48 = 31,724.64/x
  3. Step 3: Cross multiply
    71,176.44x = 106,755.48 × 31,724.64
  4. Step 4: Simplify right side
    71,176.44x = 3,386,779,171.03
  5. Step 5: Solve for x
    x = 3,386,779,171.03/71,176.44
  6. Step 6: Final answer
    x = 47,582.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.