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Finding the Fourth Proportional to 107,627.40, 161,441.10 and 32,747.40

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Solution

The fourth proportional to 107,627.40, 161,441.10 and 32,747.40 is: 49,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,627.40 : 161,441.10 = 32,747.40 : x
  2. Step 2: Convert to fraction form
    107,627.40/161,441.10 = 32,747.40/x
  3. Step 3: Cross multiply
    107,627.40x = 161,441.10 × 32,747.40
  4. Step 4: Simplify right side
    107,627.40x = 5,286,776,278.14
  5. Step 5: Solve for x
    x = 5,286,776,278.14/107,627.40
  6. Step 6: Final answer
    x = 49,121.10

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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.