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Finding the Fourth Proportional to 71,495.34, 107,262.45 and 24,751.86

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Solution

The fourth proportional to 71,495.34, 107,262.45 and 24,751.86 is: 37,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,495.34 : 107,262.45 = 24,751.86 : x
  2. Step 2: Convert to fraction form
    71,495.34/107,262.45 = 24,751.86/x
  3. Step 3: Cross multiply
    71,495.34x = 107,262.45 × 24,751.86
  4. Step 4: Simplify right side
    71,495.34x = 2,654,945,145.66
  5. Step 5: Solve for x
    x = 2,654,945,145.66/71,495.34
  6. Step 6: Final answer
    x = 37,134.52

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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.