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Finding the Fourth Proportional to 32,114.10, 48,171.15 and 20,304.30

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Solution

The fourth proportional to 32,114.10, 48,171.15 and 20,304.30 is: 30,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.10 : 48,171.15 = 20,304.30 : x
  2. Step 2: Convert to fraction form
    32,114.10/48,171.15 = 20,304.30/x
  3. Step 3: Cross multiply
    32,114.10x = 48,171.15 × 20,304.30
  4. Step 4: Simplify right side
    32,114.10x = 978,081,480.95
  5. Step 5: Solve for x
    x = 978,081,480.95/32,114.10
  6. Step 6: Final answer
    x = 30,456.45

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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.