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Finding the Fourth Proportional to 32,946.57, 49,419.45 and 13,224.78

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Solution

The fourth proportional to 32,946.57, 49,419.45 and 13,224.78 is: 19,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.57 : 49,419.45 = 13,224.78 : x
  2. Step 2: Convert to fraction form
    32,946.57/49,419.45 = 13,224.78/x
  3. Step 3: Cross multiply
    32,946.57x = 49,419.45 × 13,224.78
  4. Step 4: Simplify right side
    32,946.57x = 653,561,353.97
  5. Step 5: Solve for x
    x = 653,561,353.97/32,946.57
  6. Step 6: Final answer
    x = 19,837.01

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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.