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Finding the Fourth Proportional to 97,259.52, 145,891.98 and 27,138.78

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Solution

The fourth proportional to 97,259.52, 145,891.98 and 27,138.78 is: 40,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,259.52 : 145,891.98 = 27,138.78 : x
  2. Step 2: Convert to fraction form
    97,259.52/145,891.98 = 27,138.78/x
  3. Step 3: Cross multiply
    97,259.52x = 145,891.98 × 27,138.78
  4. Step 4: Simplify right side
    97,259.52x = 3,959,330,348.98
  5. Step 5: Solve for x
    x = 3,959,330,348.98/97,259.52
  6. Step 6: Final answer
    x = 40,708.92

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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.