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Finding the Fourth Proportional to 55,251.40, 82,877.10 and 31,923.40

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Solution

The fourth proportional to 55,251.40, 82,877.10 and 31,923.40 is: 47,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,251.40 : 82,877.10 = 31,923.40 : x
  2. Step 2: Convert to fraction form
    55,251.40/82,877.10 = 31,923.40/x
  3. Step 3: Cross multiply
    55,251.40x = 82,877.10 × 31,923.40
  4. Step 4: Simplify right side
    55,251.40x = 2,645,718,814.14
  5. Step 5: Solve for x
    x = 2,645,718,814.14/55,251.40
  6. Step 6: Final answer
    x = 47,885.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.