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Finding the Fourth Proportional to 40,031.76, 55,215.18 and 28,097.76

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Solution

The fourth proportional to 40,031.76, 55,215.18 and 28,097.76 is: 38,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,031.76 : 55,215.18 = 28,097.76 : x
  2. Step 2: Convert to fraction form
    40,031.76/55,215.18 = 28,097.76/x
  3. Step 3: Cross multiply
    40,031.76x = 55,215.18 × 28,097.76
  4. Step 4: Simplify right side
    40,031.76x = 1,551,422,876.00
  5. Step 5: Solve for x
    x = 1,551,422,876.00/40,031.76
  6. Step 6: Final answer
    x = 38,754.80

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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.