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Finding the Fourth Proportional to 27,332, 40,994.24 and 10,680.48

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Solution

The fourth proportional to 27,332, 40,994.24 and 10,680.48 is: 16,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,332 : 40,994.24 = 10,680.48 : x
  2. Step 2: Convert to fraction form
    27,332/40,994.24 = 10,680.48/x
  3. Step 3: Cross multiply
    27,332x = 40,994.24 × 10,680.48
  4. Step 4: Simplify right side
    27,332x = 437,838,160.44
  5. Step 5: Solve for x
    x = 437,838,160.44/27,332
  6. Step 6: Final answer
    x = 16,019.25

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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.