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Finding the Fourth Proportional to 40,031.26, 55,214.49 and 28,097.26

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Solution

The fourth proportional to 40,031.26, 55,214.49 and 28,097.26 is: 38,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,031.26 : 55,214.49 = 28,097.26 : x
  2. Step 2: Convert to fraction form
    40,031.26/55,214.49 = 28,097.26/x
  3. Step 3: Cross multiply
    40,031.26x = 55,214.49 × 28,097.26
  4. Step 4: Simplify right side
    40,031.26x = 1,551,375,881.30
  5. Step 5: Solve for x
    x = 1,551,375,881.30/40,031.26
  6. Step 6: Final answer
    x = 38,754.11

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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.