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Finding the Fourth Proportional to 54,785.80, 82,178.70 and 35,102.80

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Solution

The fourth proportional to 54,785.80, 82,178.70 and 35,102.80 is: 52,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785.80 : 82,178.70 = 35,102.80 : x
  2. Step 2: Convert to fraction form
    54,785.80/82,178.70 = 35,102.80/x
  3. Step 3: Cross multiply
    54,785.80x = 82,178.70 × 35,102.80
  4. Step 4: Simplify right side
    54,785.80x = 2,884,702,470.36
  5. Step 5: Solve for x
    x = 2,884,702,470.36/54,785.80
  6. Step 6: Final answer
    x = 52,654.20

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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.