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Finding the Fourth Proportional to 22,874.56, 31,278.65 and 22,874.56

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Solution

The fourth proportional to 22,874.56, 31,278.65 and 22,874.56 is: 31,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.56 : 31,278.65 = 22,874.56 : x
  2. Step 2: Convert to fraction form
    22,874.56/31,278.65 = 22,874.56/x
  3. Step 3: Cross multiply
    22,874.56x = 31,278.65 × 22,874.56
  4. Step 4: Simplify right side
    22,874.56x = 715,485,356.14
  5. Step 5: Solve for x
    x = 715,485,356.14/22,874.56
  6. Step 6: Final answer
    x = 31,278.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.