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Finding the Fourth Proportional to 32,889.30, 49,333.84 and 11,829.30

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Solution

The fourth proportional to 32,889.30, 49,333.84 and 11,829.30 is: 17,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889.30 : 49,333.84 = 11,829.30 : x
  2. Step 2: Convert to fraction form
    32,889.30/49,333.84 = 11,829.30/x
  3. Step 3: Cross multiply
    32,889.30x = 49,333.84 × 11,829.30
  4. Step 4: Simplify right side
    32,889.30x = 583,585,028.46
  5. Step 5: Solve for x
    x = 583,585,028.46/32,889.30
  6. Step 6: Final answer
    x = 17,743.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.