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Finding the Fourth Proportional to 40,257, 55,555.62 and 22,593

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Solution

The fourth proportional to 40,257, 55,555.62 and 22,593 is: 31,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,257 : 55,555.62 = 22,593 : x
  2. Step 2: Convert to fraction form
    40,257/55,555.62 = 22,593/x
  3. Step 3: Cross multiply
    40,257x = 55,555.62 × 22,593
  4. Step 4: Simplify right side
    40,257x = 1,255,168,122.66
  5. Step 5: Solve for x
    x = 1,255,168,122.66/40,257
  6. Step 6: Final answer
    x = 31,178.88

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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.