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Finding the Fourth Proportional to 57,482.74, 86,057.16 and 35,228.80

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Solution

The fourth proportional to 57,482.74, 86,057.16 and 35,228.80 is: 52,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,482.74 : 86,057.16 = 35,228.80 : x
  2. Step 2: Convert to fraction form
    57,482.74/86,057.16 = 35,228.80/x
  3. Step 3: Cross multiply
    57,482.74x = 86,057.16 × 35,228.80
  4. Step 4: Simplify right side
    57,482.74x = 3,031,690,478.21
  5. Step 5: Solve for x
    x = 3,031,690,478.21/57,482.74
  6. Step 6: Final answer
    x = 52,740.88

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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.