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Finding the Fourth Proportional to 71,643.90, 107,459.25 and 24,253.58

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Solution

The fourth proportional to 71,643.90, 107,459.25 and 24,253.58 is: 36,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.90 : 107,459.25 = 24,253.58 : x
  2. Step 2: Convert to fraction form
    71,643.90/107,459.25 = 24,253.58/x
  3. Step 3: Cross multiply
    71,643.90x = 107,459.25 × 24,253.58
  4. Step 4: Simplify right side
    71,643.90x = 2,606,271,516.62
  5. Step 5: Solve for x
    x = 2,606,271,516.62/71,643.90
  6. Step 6: Final answer
    x = 36,378.14

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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.