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Finding the Fourth Proportional to 47,983.50, 72,001.17 and 23,359.50

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Solution

The fourth proportional to 47,983.50, 72,001.17 and 23,359.50 is: 35,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,983.50 : 72,001.17 = 23,359.50 : x
  2. Step 2: Convert to fraction form
    47,983.50/72,001.17 = 23,359.50/x
  3. Step 3: Cross multiply
    47,983.50x = 72,001.17 × 23,359.50
  4. Step 4: Simplify right side
    47,983.50x = 1,681,911,330.62
  5. Step 5: Solve for x
    x = 1,681,911,330.62/47,983.50
  6. Step 6: Final answer
    x = 35,051.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.