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Finding the Fourth Proportional to 127,609.64, 191,422.34 and 38,869.67

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Solution

The fourth proportional to 127,609.64, 191,422.34 and 38,869.67 is: 58,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,609.64 : 191,422.34 = 38,869.67 : x
  2. Step 2: Convert to fraction form
    127,609.64/191,422.34 = 38,869.67/x
  3. Step 3: Cross multiply
    127,609.64x = 191,422.34 × 38,869.67
  4. Step 4: Simplify right side
    127,609.64x = 7,440,522,992.08
  5. Step 5: Solve for x
    x = 7,440,522,992.08/127,609.64
  6. Step 6: Final answer
    x = 58,306.90

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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.