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Finding the Fourth Proportional to 32,838.40, 49,243.20 and 13,110.40

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Solution

The fourth proportional to 32,838.40, 49,243.20 and 13,110.40 is: 19,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.40 : 49,243.20 = 13,110.40 : x
  2. Step 2: Convert to fraction form
    32,838.40/49,243.20 = 13,110.40/x
  3. Step 3: Cross multiply
    32,838.40x = 49,243.20 × 13,110.40
  4. Step 4: Simplify right side
    32,838.40x = 645,598,049.28
  5. Step 5: Solve for x
    x = 645,598,049.28/32,838.40
  6. Step 6: Final answer
    x = 19,659.85

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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.