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Finding the Fourth Proportional to 67,807.50, 101,711.25 and 26,254.50

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Solution

The fourth proportional to 67,807.50, 101,711.25 and 26,254.50 is: 39,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,807.50 : 101,711.25 = 26,254.50 : x
  2. Step 2: Convert to fraction form
    67,807.50/101,711.25 = 26,254.50/x
  3. Step 3: Cross multiply
    67,807.50x = 101,711.25 × 26,254.50
  4. Step 4: Simplify right side
    67,807.50x = 2,670,378,013.13
  5. Step 5: Solve for x
    x = 2,670,378,013.13/67,807.50
  6. Step 6: Final answer
    x = 39,381.75

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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.