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Finding the Fourth Proportional to 47,655.66, 71,437.02 and 22,689

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Solution

The fourth proportional to 47,655.66, 71,437.02 and 22,689 is: 34,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655.66 : 71,437.02 = 22,689 : x
  2. Step 2: Convert to fraction form
    47,655.66/71,437.02 = 22,689/x
  3. Step 3: Cross multiply
    47,655.66x = 71,437.02 × 22,689
  4. Step 4: Simplify right side
    47,655.66x = 1,620,834,546.78
  5. Step 5: Solve for x
    x = 1,620,834,546.78/47,655.66
  6. Step 6: Final answer
    x = 34,011.38

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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.