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Finding the Fourth Proportional to 107,844.48, 161,616.48 and 55,142.64

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Solution

The fourth proportional to 107,844.48, 161,616.48 and 55,142.64 is: 82,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,844.48 : 161,616.48 = 55,142.64 : x
  2. Step 2: Convert to fraction form
    107,844.48/161,616.48 = 55,142.64/x
  3. Step 3: Cross multiply
    107,844.48x = 161,616.48 × 55,142.64
  4. Step 4: Simplify right side
    107,844.48x = 8,911,959,374.71
  5. Step 5: Solve for x
    x = 8,911,959,374.71/107,844.48
  6. Step 6: Final answer
    x = 82,637.14

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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.