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Finding the Fourth Proportional to 83,080.49, 124,649.89 and 51,879.29

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Solution

The fourth proportional to 83,080.49, 124,649.89 and 51,879.29 is: 77,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080.49 : 124,649.89 = 51,879.29 : x
  2. Step 2: Convert to fraction form
    83,080.49/124,649.89 = 51,879.29/x
  3. Step 3: Cross multiply
    83,080.49x = 124,649.89 × 51,879.29
  4. Step 4: Simplify right side
    83,080.49x = 6,466,747,038.83
  5. Step 5: Solve for x
    x = 6,466,747,038.83/83,080.49
  6. Step 6: Final answer
    x = 77,837.14

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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.