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Finding the Fourth Proportional to 41,071.59, 61,614.03 and 16,098.10

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Solution

The fourth proportional to 41,071.59, 61,614.03 and 16,098.10 is: 24,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,071.59 : 61,614.03 = 16,098.10 : x
  2. Step 2: Convert to fraction form
    41,071.59/61,614.03 = 16,098.10/x
  3. Step 3: Cross multiply
    41,071.59x = 61,614.03 × 16,098.10
  4. Step 4: Simplify right side
    41,071.59x = 991,868,816.34
  5. Step 5: Solve for x
    x = 991,868,816.34/41,071.59
  6. Step 6: Final answer
    x = 24,149.75

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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.