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Finding the Fourth Proportional to 68,001.50, 102,046.26 and 26,448.50

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Solution

The fourth proportional to 68,001.50, 102,046.26 and 26,448.50 is: 39,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,001.50 : 102,046.26 = 26,448.50 : x
  2. Step 2: Convert to fraction form
    68,001.50/102,046.26 = 26,448.50/x
  3. Step 3: Cross multiply
    68,001.50x = 102,046.26 × 26,448.50
  4. Step 4: Simplify right side
    68,001.50x = 2,698,970,507.61
  5. Step 5: Solve for x
    x = 2,698,970,507.61/68,001.50
  6. Step 6: Final answer
    x = 39,689.87

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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.