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Finding the Fourth Proportional to 107,881.70, 161,796.62 and 55,264.10

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Solution

The fourth proportional to 107,881.70, 161,796.62 and 55,264.10 is: 82,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,881.70 : 161,796.62 = 55,264.10 : x
  2. Step 2: Convert to fraction form
    107,881.70/161,796.62 = 55,264.10/x
  3. Step 3: Cross multiply
    107,881.70x = 161,796.62 × 55,264.10
  4. Step 4: Simplify right side
    107,881.70x = 8,941,544,587.34
  5. Step 5: Solve for x
    x = 8,941,544,587.34/107,881.70
  6. Step 6: Final answer
    x = 82,882.87

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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.