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Finding the Fourth Proportional to 40,332, 55,658.16 and 22,668

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Solution

The fourth proportional to 40,332, 55,658.16 and 22,668 is: 31,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,332 : 55,658.16 = 22,668 : x
  2. Step 2: Convert to fraction form
    40,332/55,658.16 = 22,668/x
  3. Step 3: Cross multiply
    40,332x = 55,658.16 × 22,668
  4. Step 4: Simplify right side
    40,332x = 1,261,659,170.88
  5. Step 5: Solve for x
    x = 1,261,659,170.88/40,332
  6. Step 6: Final answer
    x = 31,281.84

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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.