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Finding the Fourth Proportional to 32,824.92, 49,233.06 and 9,134.04

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Solution

The fourth proportional to 32,824.92, 49,233.06 and 9,134.04 is: 13,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824.92 : 49,233.06 = 9,134.04 : x
  2. Step 2: Convert to fraction form
    32,824.92/49,233.06 = 9,134.04/x
  3. Step 3: Cross multiply
    32,824.92x = 49,233.06 × 9,134.04
  4. Step 4: Simplify right side
    32,824.92x = 449,696,739.36
  5. Step 5: Solve for x
    x = 449,696,739.36/32,824.92
  6. Step 6: Final answer
    x = 13,699.86

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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.