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Finding the Fourth Proportional to 41,174.76, 61,762.14 and 16,545

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Solution

The fourth proportional to 41,174.76, 61,762.14 and 16,545 is: 24,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.76 : 61,762.14 = 16,545 : x
  2. Step 2: Convert to fraction form
    41,174.76/61,762.14 = 16,545/x
  3. Step 3: Cross multiply
    41,174.76x = 61,762.14 × 16,545
  4. Step 4: Simplify right side
    41,174.76x = 1,021,854,606.30
  5. Step 5: Solve for x
    x = 1,021,854,606.30/41,174.76
  6. Step 6: Final answer
    x = 24,817.50

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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.