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Finding the Fourth Proportional to 32,046.31, 48,069.46 and 20,962.32

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Solution

The fourth proportional to 32,046.31, 48,069.46 and 20,962.32 is: 31,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.31 : 48,069.46 = 20,962.32 : x
  2. Step 2: Convert to fraction form
    32,046.31/48,069.46 = 20,962.32/x
  3. Step 3: Cross multiply
    32,046.31x = 48,069.46 × 20,962.32
  4. Step 4: Simplify right side
    32,046.31x = 1,007,647,402.75
  5. Step 5: Solve for x
    x = 1,007,647,402.75/32,046.31
  6. Step 6: Final answer
    x = 31,443.48

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Similar ratio
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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.