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Finding the Fourth Proportional to 107,488.90, 161,233.74 and 32,609.68

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Solution

The fourth proportional to 107,488.90, 161,233.74 and 32,609.68 is: 48,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,488.90 : 161,233.74 = 32,609.68 : x
  2. Step 2: Convert to fraction form
    107,488.90/161,233.74 = 32,609.68/x
  3. Step 3: Cross multiply
    107,488.90x = 161,233.74 × 32,609.68
  4. Step 4: Simplify right side
    107,488.90x = 5,257,780,666.60
  5. Step 5: Solve for x
    x = 5,257,780,666.60/107,488.90
  6. Step 6: Final answer
    x = 48,914.64

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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.