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Finding the Fourth Proportional to 68,497, 102,755.75 and 24,115.93

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Solution

The fourth proportional to 68,497, 102,755.75 and 24,115.93 is: 36,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,497 : 102,755.75 = 24,115.93 : x
  2. Step 2: Convert to fraction form
    68,497/102,755.75 = 24,115.93/x
  3. Step 3: Cross multiply
    68,497x = 102,755.75 × 24,115.93
  4. Step 4: Simplify right side
    68,497x = 2,478,050,474.10
  5. Step 5: Solve for x
    x = 2,478,050,474.10/68,497
  6. Step 6: Final answer
    x = 36,177.50

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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.