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Finding the Fourth Proportional to 73,782.91, 101,810.14 and 41,948.29

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Solution

The fourth proportional to 73,782.91, 101,810.14 and 41,948.29 is: 57,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.91 : 101,810.14 = 41,948.29 : x
  2. Step 2: Convert to fraction form
    73,782.91/101,810.14 = 41,948.29/x
  3. Step 3: Cross multiply
    73,782.91x = 101,810.14 × 41,948.29
  4. Step 4: Simplify right side
    73,782.91x = 4,270,761,277.66
  5. Step 5: Solve for x
    x = 4,270,761,277.66/73,782.91
  6. Step 6: Final answer
    x = 57,882.80

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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.