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Finding the Fourth Proportional to 80,597.81, 120,865.03 and 27,275.10

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Solution

The fourth proportional to 80,597.81, 120,865.03 and 27,275.10 is: 40,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,597.81 : 120,865.03 = 27,275.10 : x
  2. Step 2: Convert to fraction form
    80,597.81/120,865.03 = 27,275.10/x
  3. Step 3: Cross multiply
    80,597.81x = 120,865.03 × 27,275.10
  4. Step 4: Simplify right side
    80,597.81x = 3,296,605,643.38
  5. Step 5: Solve for x
    x = 3,296,605,643.38/80,597.81
  6. Step 6: Final answer
    x = 40,901.93

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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.