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Finding the Fourth Proportional to 107,842.48, 161,613.48 and 55,140.64

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Solution

The fourth proportional to 107,842.48, 161,613.48 and 55,140.64 is: 82,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,842.48 : 161,613.48 = 55,140.64 : x
  2. Step 2: Convert to fraction form
    107,842.48/161,613.48 = 55,140.64/x
  3. Step 3: Cross multiply
    107,842.48x = 161,613.48 × 55,140.64
  4. Step 4: Simplify right side
    107,842.48x = 8,911,470,719.83
  5. Step 5: Solve for x
    x = 8,911,470,719.83/107,842.48
  6. Step 6: Final answer
    x = 82,634.14

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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.