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Finding the Fourth Proportional to 71,466.38, 107,199.56 and 29,913.38

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Solution

The fourth proportional to 71,466.38, 107,199.56 and 29,913.38 is: 44,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466.38 : 107,199.56 = 29,913.38 : x
  2. Step 2: Convert to fraction form
    71,466.38/107,199.56 = 29,913.38/x
  3. Step 3: Cross multiply
    71,466.38x = 107,199.56 × 29,913.38
  4. Step 4: Simplify right side
    71,466.38x = 3,206,700,712.90
  5. Step 5: Solve for x
    x = 3,206,700,712.90/71,466.38
  6. Step 6: Final answer
    x = 44,870.06

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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.