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Finding the Fourth Proportional to 40,482, 55,863.54 and 22,576.86

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Solution

The fourth proportional to 40,482, 55,863.54 and 22,576.86 is: 31,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,482 : 55,863.54 = 22,576.86 : x
  2. Step 2: Convert to fraction form
    40,482/55,863.54 = 22,576.86/x
  3. Step 3: Cross multiply
    40,482x = 55,863.54 × 22,576.86
  4. Step 4: Simplify right side
    40,482x = 1,261,223,321.68
  5. Step 5: Solve for x
    x = 1,261,223,321.68/40,482
  6. Step 6: Final answer
    x = 31,155.16

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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.