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Finding the Fourth Proportional to 41,688.54, 62,532.95 and 10,098.54

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Solution

The fourth proportional to 41,688.54, 62,532.95 and 10,098.54 is: 15,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688.54 : 62,532.95 = 10,098.54 : x
  2. Step 2: Convert to fraction form
    41,688.54/62,532.95 = 10,098.54/x
  3. Step 3: Cross multiply
    41,688.54x = 62,532.95 × 10,098.54
  4. Step 4: Simplify right side
    41,688.54x = 631,491,446.40
  5. Step 5: Solve for x
    x = 631,491,446.40/41,688.54
  6. Step 6: Final answer
    x = 15,147.84

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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.