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Finding the Fourth Proportional to 73,264.73, 109,913.30 and 31,180.55

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Solution

The fourth proportional to 73,264.73, 109,913.30 and 31,180.55 is: 46,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,264.73 : 109,913.30 = 31,180.55 : x
  2. Step 2: Convert to fraction form
    73,264.73/109,913.30 = 31,180.55/x
  3. Step 3: Cross multiply
    73,264.73x = 109,913.30 × 31,180.55
  4. Step 4: Simplify right side
    73,264.73x = 3,427,156,733.16
  5. Step 5: Solve for x
    x = 3,427,156,733.16/73,264.73
  6. Step 6: Final answer
    x = 46,777.72

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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.