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Finding the Fourth Proportional to 32,020.92, 48,029.04 and 9,832.44

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Solution

The fourth proportional to 32,020.92, 48,029.04 and 9,832.44 is: 14,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.92 : 48,029.04 = 9,832.44 : x
  2. Step 2: Convert to fraction form
    32,020.92/48,029.04 = 9,832.44/x
  3. Step 3: Cross multiply
    32,020.92x = 48,029.04 × 9,832.44
  4. Step 4: Simplify right side
    32,020.92x = 472,242,654.06
  5. Step 5: Solve for x
    x = 472,242,654.06/32,020.92
  6. Step 6: Final answer
    x = 14,747.94

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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.