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Finding the Fourth Proportional to 40,551, 55,959.76 and 22,646.27

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Solution

The fourth proportional to 40,551, 55,959.76 and 22,646.27 is: 31,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,551 : 55,959.76 = 22,646.27 : x
  2. Step 2: Convert to fraction form
    40,551/55,959.76 = 22,646.27/x
  3. Step 3: Cross multiply
    40,551x = 55,959.76 × 22,646.27
  4. Step 4: Simplify right side
    40,551x = 1,267,279,834.10
  5. Step 5: Solve for x
    x = 1,267,279,834.10/40,551
  6. Step 6: Final answer
    x = 31,251.51

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1.5x scale

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.