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Finding the Fourth Proportional to 107,897.92, 161,898.24 and 48,751.68

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Solution

The fourth proportional to 107,897.92, 161,898.24 and 48,751.68 is: 73,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,897.92 : 161,898.24 = 48,751.68 : x
  2. Step 2: Convert to fraction form
    107,897.92/161,898.24 = 48,751.68/x
  3. Step 3: Cross multiply
    107,897.92x = 161,898.24 × 48,751.68
  4. Step 4: Simplify right side
    107,897.92x = 7,892,811,189.04
  5. Step 5: Solve for x
    x = 7,892,811,189.04/107,897.92
  6. Step 6: Final answer
    x = 73,150.73

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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.