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Finding the Fourth Proportional to 40,672.86, 56,127.51 and 22,767

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Solution

The fourth proportional to 40,672.86, 56,127.51 and 22,767 is: 31,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,672.86 : 56,127.51 = 22,767 : x
  2. Step 2: Convert to fraction form
    40,672.86/56,127.51 = 22,767/x
  3. Step 3: Cross multiply
    40,672.86x = 56,127.51 × 22,767
  4. Step 4: Simplify right side
    40,672.86x = 1,277,855,020.17
  5. Step 5: Solve for x
    x = 1,277,855,020.17/40,672.86
  6. Step 6: Final answer
    x = 31,417.88

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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.