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Finding the Fourth Proportional to 107,691.32, 161,610.78 and 37,570.64

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Solution

The fourth proportional to 107,691.32, 161,610.78 and 37,570.64 is: 56,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,691.32 : 161,610.78 = 37,570.64 : x
  2. Step 2: Convert to fraction form
    107,691.32/161,610.78 = 37,570.64/x
  3. Step 3: Cross multiply
    107,691.32x = 161,610.78 × 37,570.64
  4. Step 4: Simplify right side
    107,691.32x = 6,071,819,627.45
  5. Step 5: Solve for x
    x = 6,071,819,627.45/107,691.32
  6. Step 6: Final answer
    x = 56,381.70

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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.