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Finding the Fourth Proportional to 32,057.50, 48,080.67 and 8,678.47

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Solution

The fourth proportional to 32,057.50, 48,080.67 and 8,678.47 is: 13,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.50 : 48,080.67 = 8,678.47 : x
  2. Step 2: Convert to fraction form
    32,057.50/48,080.67 = 8,678.47/x
  3. Step 3: Cross multiply
    32,057.50x = 48,080.67 × 8,678.47
  4. Step 4: Simplify right side
    32,057.50x = 417,266,652.17
  5. Step 5: Solve for x
    x = 417,266,652.17/32,057.50
  6. Step 6: Final answer
    x = 13,016.19

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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.