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Finding the Fourth Proportional to 51,862.65, 77,813.13 and 41,959.20

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Solution

The fourth proportional to 51,862.65, 77,813.13 and 41,959.20 is: 62,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,862.65 : 77,813.13 = 41,959.20 : x
  2. Step 2: Convert to fraction form
    51,862.65/77,813.13 = 41,959.20/x
  3. Step 3: Cross multiply
    51,862.65x = 77,813.13 × 41,959.20
  4. Step 4: Simplify right side
    51,862.65x = 3,264,976,684.30
  5. Step 5: Solve for x
    x = 3,264,976,684.30/51,862.65
  6. Step 6: Final answer
    x = 62,954.30

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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.