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Finding the Fourth Proportional to 83,897.80, 125,846.70 and 34,001.80

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Solution

The fourth proportional to 83,897.80, 125,846.70 and 34,001.80 is: 51,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.80 : 125,846.70 = 34,001.80 : x
  2. Step 2: Convert to fraction form
    83,897.80/125,846.70 = 34,001.80/x
  3. Step 3: Cross multiply
    83,897.80x = 125,846.70 × 34,001.80
  4. Step 4: Simplify right side
    83,897.80x = 4,279,014,324.06
  5. Step 5: Solve for x
    x = 4,279,014,324.06/83,897.80
  6. Step 6: Final answer
    x = 51,002.70

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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.