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Finding the Fourth Proportional to 71,350.76, 106,967.76 and 26,952.32

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Solution

The fourth proportional to 71,350.76, 106,967.76 and 26,952.32 is: 40,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,350.76 : 106,967.76 = 26,952.32 : x
  2. Step 2: Convert to fraction form
    71,350.76/106,967.76 = 26,952.32/x
  3. Step 3: Cross multiply
    71,350.76x = 106,967.76 × 26,952.32
  4. Step 4: Simplify right side
    71,350.76x = 2,883,029,297.20
  5. Step 5: Solve for x
    x = 2,883,029,297.20/71,350.76
  6. Step 6: Final answer
    x = 40,406.43

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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.