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Finding the Fourth Proportional to 73,264.92, 109,823.31 and 28,874.40

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Solution

The fourth proportional to 73,264.92, 109,823.31 and 28,874.40 is: 43,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,264.92 : 109,823.31 = 28,874.40 : x
  2. Step 2: Convert to fraction form
    73,264.92/109,823.31 = 28,874.40/x
  3. Step 3: Cross multiply
    73,264.92x = 109,823.31 × 28,874.40
  4. Step 4: Simplify right side
    73,264.92x = 3,171,082,182.26
  5. Step 5: Solve for x
    x = 3,171,082,182.26/73,264.92
  6. Step 6: Final answer
    x = 43,282.41

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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.