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Finding the Fourth Proportional to 32,695.87, 49,039.12 and 10,506.33

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Solution

The fourth proportional to 32,695.87, 49,039.12 and 10,506.33 is: 15,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.87 : 49,039.12 = 10,506.33 : x
  2. Step 2: Convert to fraction form
    32,695.87/49,039.12 = 10,506.33/x
  3. Step 3: Cross multiply
    32,695.87x = 49,039.12 × 10,506.33
  4. Step 4: Simplify right side
    32,695.87x = 515,221,177.63
  5. Step 5: Solve for x
    x = 515,221,177.63/32,695.87
  6. Step 6: Final answer
    x = 15,757.99

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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.