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Finding the Fourth Proportional to 71,034.48, 106,557.48 and 23,647.86

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Solution

The fourth proportional to 71,034.48, 106,557.48 and 23,647.86 is: 35,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034.48 : 106,557.48 = 23,647.86 : x
  2. Step 2: Convert to fraction form
    71,034.48/106,557.48 = 23,647.86/x
  3. Step 3: Cross multiply
    71,034.48x = 106,557.48 × 23,647.86
  4. Step 4: Simplify right side
    71,034.48x = 2,519,856,368.99
  5. Step 5: Solve for x
    x = 2,519,856,368.99/71,034.48
  6. Step 6: Final answer
    x = 35,473.71

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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.