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Finding the Fourth Proportional to 51,377.44, 70,897.44 and 29,020

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Solution

The fourth proportional to 51,377.44, 70,897.44 and 29,020 is: 40,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,377.44 : 70,897.44 = 29,020 : x
  2. Step 2: Convert to fraction form
    51,377.44/70,897.44 = 29,020/x
  3. Step 3: Cross multiply
    51,377.44x = 70,897.44 × 29,020
  4. Step 4: Simplify right side
    51,377.44x = 2,057,443,708.80
  5. Step 5: Solve for x
    x = 2,057,443,708.80/51,377.44
  6. Step 6: Final answer
    x = 40,045.66

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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.