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Finding the Fourth Proportional to 47,663.67, 71,449.02 and 22,697.01

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Solution

The fourth proportional to 47,663.67, 71,449.02 and 22,697.01 is: 34,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.67 : 71,449.02 = 22,697.01 : x
  2. Step 2: Convert to fraction form
    47,663.67/71,449.02 = 22,697.01/x
  3. Step 3: Cross multiply
    47,663.67x = 71,449.02 × 22,697.01
  4. Step 4: Simplify right side
    47,663.67x = 1,621,679,121.43
  5. Step 5: Solve for x
    x = 1,621,679,121.43/47,663.67
  6. Step 6: Final answer
    x = 34,023.38

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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.