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Finding the Fourth Proportional to 71,459.76, 107,114.04 and 24,029.67

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Solution

The fourth proportional to 71,459.76, 107,114.04 and 24,029.67 is: 36,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,459.76 : 107,114.04 = 24,029.67 : x
  2. Step 2: Convert to fraction form
    71,459.76/107,114.04 = 24,029.67/x
  3. Step 3: Cross multiply
    71,459.76x = 107,114.04 × 24,029.67
  4. Step 4: Simplify right side
    71,459.76x = 2,573,915,033.57
  5. Step 5: Solve for x
    x = 2,573,915,033.57/71,459.76
  6. Step 6: Final answer
    x = 36,019.08

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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.