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Finding the Fourth Proportional to 40,750, 61,125.42 and 16,126

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Solution

The fourth proportional to 40,750, 61,125.42 and 16,126 is: 24,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,750 : 61,125.42 = 16,126 : x
  2. Step 2: Convert to fraction form
    40,750/61,125.42 = 16,126/x
  3. Step 3: Cross multiply
    40,750x = 61,125.42 × 16,126
  4. Step 4: Simplify right side
    40,750x = 985,708,522.92
  5. Step 5: Solve for x
    x = 985,708,522.92/40,750
  6. Step 6: Final answer
    x = 24,189.17

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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.