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Finding the Fourth Proportional to 32,893.29, 49,288.10 and 19,729.17

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Solution

The fourth proportional to 32,893.29, 49,288.10 and 19,729.17 is: 29,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.29 : 49,288.10 = 19,729.17 : x
  2. Step 2: Convert to fraction form
    32,893.29/49,288.10 = 19,729.17/x
  3. Step 3: Cross multiply
    32,893.29x = 49,288.10 × 19,729.17
  4. Step 4: Simplify right side
    32,893.29x = 972,413,205.23
  5. Step 5: Solve for x
    x = 972,413,205.23/32,893.29
  6. Step 6: Final answer
    x = 29,562.66

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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.