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Finding the Fourth Proportional to 32,766.68, 49,111.14 and 17,982.56

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Solution

The fourth proportional to 32,766.68, 49,111.14 and 17,982.56 is: 26,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766.68 : 49,111.14 = 17,982.56 : x
  2. Step 2: Convert to fraction form
    32,766.68/49,111.14 = 17,982.56/x
  3. Step 3: Cross multiply
    32,766.68x = 49,111.14 × 17,982.56
  4. Step 4: Simplify right side
    32,766.68x = 883,144,021.72
  5. Step 5: Solve for x
    x = 883,144,021.72/32,766.68
  6. Step 6: Final answer
    x = 26,952.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.