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Finding the Fourth Proportional to 32,231.54, 48,346.35 and 8,859.38

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Solution

The fourth proportional to 32,231.54, 48,346.35 and 8,859.38 is: 13,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.54 : 48,346.35 = 8,859.38 : x
  2. Step 2: Convert to fraction form
    32,231.54/48,346.35 = 8,859.38/x
  3. Step 3: Cross multiply
    32,231.54x = 48,346.35 × 8,859.38
  4. Step 4: Simplify right side
    32,231.54x = 428,318,686.26
  5. Step 5: Solve for x
    x = 428,318,686.26/32,231.54
  6. Step 6: Final answer
    x = 13,288.81

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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.