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Finding the Fourth Proportional to 32,462.80, 48,693.88 and 10,276.20

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Solution

The fourth proportional to 32,462.80, 48,693.88 and 10,276.20 is: 15,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.80 : 48,693.88 = 10,276.20 : x
  2. Step 2: Convert to fraction form
    32,462.80/48,693.88 = 10,276.20/x
  3. Step 3: Cross multiply
    32,462.80x = 48,693.88 × 10,276.20
  4. Step 4: Simplify right side
    32,462.80x = 500,388,049.66
  5. Step 5: Solve for x
    x = 500,388,049.66/32,462.80
  6. Step 6: Final answer
    x = 15,414.20

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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.