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Finding the Fourth Proportional to 47,577.69, 71,367.69 and 15,988.20

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Solution

The fourth proportional to 47,577.69, 71,367.69 and 15,988.20 is: 23,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,577.69 : 71,367.69 = 15,988.20 : x
  2. Step 2: Convert to fraction form
    47,577.69/71,367.69 = 15,988.20/x
  3. Step 3: Cross multiply
    47,577.69x = 71,367.69 × 15,988.20
  4. Step 4: Simplify right side
    47,577.69x = 1,141,040,901.26
  5. Step 5: Solve for x
    x = 1,141,040,901.26/47,577.69
  6. Step 6: Final answer
    x = 23,982.69

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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.