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Finding the Fourth Proportional to 50,691.39, 76,041.03 and 15,150

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Solution

The fourth proportional to 50,691.39, 76,041.03 and 15,150 is: 22,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,691.39 : 76,041.03 = 15,150 : x
  2. Step 2: Convert to fraction form
    50,691.39/76,041.03 = 15,150/x
  3. Step 3: Cross multiply
    50,691.39x = 76,041.03 × 15,150
  4. Step 4: Simplify right side
    50,691.39x = 1,152,021,604.50
  5. Step 5: Solve for x
    x = 1,152,021,604.50/50,691.39
  6. Step 6: Final answer
    x = 22,726.18

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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.