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Finding the Fourth Proportional to 68,294.64, 102,379.55 and 23,897.17

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Solution

The fourth proportional to 68,294.64, 102,379.55 and 23,897.17 is: 35,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,294.64 : 102,379.55 = 23,897.17 : x
  2. Step 2: Convert to fraction form
    68,294.64/102,379.55 = 23,897.17/x
  3. Step 3: Cross multiply
    68,294.64x = 102,379.55 × 23,897.17
  4. Step 4: Simplify right side
    68,294.64x = 2,446,581,314.67
  5. Step 5: Solve for x
    x = 2,446,581,314.67/68,294.64
  6. Step 6: Final answer
    x = 35,823.91

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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.