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Finding the Fourth Proportional to 107,889.92, 161,886.24 and 48,743.68

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Solution

The fourth proportional to 107,889.92, 161,886.24 and 48,743.68 is: 73,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,889.92 : 161,886.24 = 48,743.68 : x
  2. Step 2: Convert to fraction form
    107,889.92/161,886.24 = 48,743.68/x
  3. Step 3: Cross multiply
    107,889.92x = 161,886.24 × 48,743.68
  4. Step 4: Simplify right side
    107,889.92x = 7,890,931,078.96
  5. Step 5: Solve for x
    x = 7,890,931,078.96/107,889.92
  6. Step 6: Final answer
    x = 73,138.72

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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.