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Finding the Fourth Proportional to 107,886.92, 161,881.74 and 48,740.68

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Solution

The fourth proportional to 107,886.92, 161,881.74 and 48,740.68 is: 73,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,886.92 : 161,881.74 = 48,740.68 : x
  2. Step 2: Convert to fraction form
    107,886.92/161,881.74 = 48,740.68/x
  3. Step 3: Cross multiply
    107,886.92x = 161,881.74 × 48,740.68
  4. Step 4: Simplify right side
    107,886.92x = 7,890,226,087.18
  5. Step 5: Solve for x
    x = 7,890,226,087.18/107,886.92
  6. Step 6: Final answer
    x = 73,134.22

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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.