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Finding the Fourth Proportional to 41,142.08, 61,722.72 and 13,440

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Solution

The fourth proportional to 41,142.08, 61,722.72 and 13,440 is: 20,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.08 : 61,722.72 = 13,440 : x
  2. Step 2: Convert to fraction form
    41,142.08/61,722.72 = 13,440/x
  3. Step 3: Cross multiply
    41,142.08x = 61,722.72 × 13,440
  4. Step 4: Simplify right side
    41,142.08x = 829,553,356.80
  5. Step 5: Solve for x
    x = 829,553,356.80/41,142.08
  6. Step 6: Final answer
    x = 20,163.14

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