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Finding the Fourth Proportional to 40,566, 55,981.08 and 22,902

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Solution

The fourth proportional to 40,566, 55,981.08 and 22,902 is: 31,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,566 : 55,981.08 = 22,902 : x
  2. Step 2: Convert to fraction form
    40,566/55,981.08 = 22,902/x
  3. Step 3: Cross multiply
    40,566x = 55,981.08 × 22,902
  4. Step 4: Simplify right side
    40,566x = 1,282,078,694.16
  5. Step 5: Solve for x
    x = 1,282,078,694.16/40,566
  6. Step 6: Final answer
    x = 31,604.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.