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Finding the Fourth Proportional to 96,034.98, 144,035.04 and 25,897.88

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Solution

The fourth proportional to 96,034.98, 144,035.04 and 25,897.88 is: 38,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,034.98 : 144,035.04 = 25,897.88 : x
  2. Step 2: Convert to fraction form
    96,034.98/144,035.04 = 25,897.88/x
  3. Step 3: Cross multiply
    96,034.98x = 144,035.04 × 25,897.88
  4. Step 4: Simplify right side
    96,034.98x = 3,730,202,181.72
  5. Step 5: Solve for x
    x = 3,730,202,181.72/96,034.98
  6. Step 6: Final answer
    x = 38,842.12

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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.