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Finding the Fourth Proportional to 32,866.10, 49,305.78 and 10,380.29

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Solution

The fourth proportional to 32,866.10, 49,305.78 and 10,380.29 is: 15,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866.10 : 49,305.78 = 10,380.29 : x
  2. Step 2: Convert to fraction form
    32,866.10/49,305.78 = 10,380.29/x
  3. Step 3: Cross multiply
    32,866.10x = 49,305.78 × 10,380.29
  4. Step 4: Simplify right side
    32,866.10x = 511,808,048.55
  5. Step 5: Solve for x
    x = 511,808,048.55/32,866.10
  6. Step 6: Final answer
    x = 15,572.52

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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.