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Finding the Fourth Proportional to 73,152.87, 109,718.10 and 23,226.45

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Solution

The fourth proportional to 73,152.87, 109,718.10 and 23,226.45 is: 34,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152.87 : 109,718.10 = 23,226.45 : x
  2. Step 2: Convert to fraction form
    73,152.87/109,718.10 = 23,226.45/x
  3. Step 3: Cross multiply
    73,152.87x = 109,718.10 × 23,226.45
  4. Step 4: Simplify right side
    73,152.87x = 2,548,361,963.75
  5. Step 5: Solve for x
    x = 2,548,361,963.75/73,152.87
  6. Step 6: Final answer
    x = 34,836.12

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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.