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Finding the Fourth Proportional to 32,938.78, 49,414.20 and 13,219.30

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Solution

The fourth proportional to 32,938.78, 49,414.20 and 13,219.30 is: 19,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.78 : 49,414.20 = 13,219.30 : x
  2. Step 2: Convert to fraction form
    32,938.78/49,414.20 = 13,219.30/x
  3. Step 3: Cross multiply
    32,938.78x = 49,414.20 × 13,219.30
  4. Step 4: Simplify right side
    32,938.78x = 653,221,134.06
  5. Step 5: Solve for x
    x = 653,221,134.06/32,938.78
  6. Step 6: Final answer
    x = 19,831.37

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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.