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Finding the Fourth Proportional to 51,780.67, 71,456.65 and 29,119.66

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Solution

The fourth proportional to 51,780.67, 71,456.65 and 29,119.66 is: 40,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780.67 : 71,456.65 = 29,119.66 : x
  2. Step 2: Convert to fraction form
    51,780.67/71,456.65 = 29,119.66/x
  3. Step 3: Cross multiply
    51,780.67x = 71,456.65 × 29,119.66
  4. Step 4: Simplify right side
    51,780.67x = 2,080,793,048.38
  5. Step 5: Solve for x
    x = 2,080,793,048.38/51,780.67
  6. Step 6: Final answer
    x = 40,184.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.