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Finding the Fourth Proportional to 54,763.74, 75,574.17 and 29,613.24

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Solution

The fourth proportional to 54,763.74, 75,574.17 and 29,613.24 is: 40,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,763.74 : 75,574.17 = 29,613.24 : x
  2. Step 2: Convert to fraction form
    54,763.74/75,574.17 = 29,613.24/x
  3. Step 3: Cross multiply
    54,763.74x = 75,574.17 × 29,613.24
  4. Step 4: Simplify right side
    54,763.74x = 2,237,996,034.01
  5. Step 5: Solve for x
    x = 2,237,996,034.01/54,763.74
  6. Step 6: Final answer
    x = 40,866.38

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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.