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Finding the Fourth Proportional to 100,044.74, 138,054.26 and 54,720.38

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Solution

The fourth proportional to 100,044.74, 138,054.26 and 54,720.38 is: 75,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,044.74 : 138,054.26 = 54,720.38 : x
  2. Step 2: Convert to fraction form
    100,044.74/138,054.26 = 54,720.38/x
  3. Step 3: Cross multiply
    100,044.74x = 138,054.26 × 54,720.38
  4. Step 4: Simplify right side
    100,044.74x = 7,554,381,294.22
  5. Step 5: Solve for x
    x = 7,554,381,294.22/100,044.74
  6. Step 6: Final answer
    x = 75,510.03

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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.