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Finding the Fourth Proportional to 32,963.92, 49,458.54 and 13,248.16

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Solution

The fourth proportional to 32,963.92, 49,458.54 and 13,248.16 is: 19,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.92 : 49,458.54 = 13,248.16 : x
  2. Step 2: Convert to fraction form
    32,963.92/49,458.54 = 13,248.16/x
  3. Step 3: Cross multiply
    32,963.92x = 49,458.54 × 13,248.16
  4. Step 4: Simplify right side
    32,963.92x = 655,234,651.29
  5. Step 5: Solve for x
    x = 655,234,651.29/32,963.92
  6. Step 6: Final answer
    x = 19,877.33

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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.