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Finding the Fourth Proportional to 32,655.72, 48,982.55 and 9,282.14

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Solution

The fourth proportional to 32,655.72, 48,982.55 and 9,282.14 is: 13,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655.72 : 48,982.55 = 9,282.14 : x
  2. Step 2: Convert to fraction form
    32,655.72/48,982.55 = 9,282.14/x
  3. Step 3: Cross multiply
    32,655.72x = 48,982.55 × 9,282.14
  4. Step 4: Simplify right side
    32,655.72x = 454,662,595.33
  5. Step 5: Solve for x
    x = 454,662,595.33/32,655.72
  6. Step 6: Final answer
    x = 13,922.91

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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.