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Finding the Fourth Proportional to 71,098.76, 106,531.26 and 24,326.12

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Solution

The fourth proportional to 71,098.76, 106,531.26 and 24,326.12 is: 36,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098.76 : 106,531.26 = 24,326.12 : x
  2. Step 2: Convert to fraction form
    71,098.76/106,531.26 = 24,326.12/x
  3. Step 3: Cross multiply
    71,098.76x = 106,531.26 × 24,326.12
  4. Step 4: Simplify right side
    71,098.76x = 2,591,492,214.51
  5. Step 5: Solve for x
    x = 2,591,492,214.51/71,098.76
  6. Step 6: Final answer
    x = 36,449.19

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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.