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Finding the Fourth Proportional to 32,866.32, 49,306.38 and 10,680.24

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Solution

The fourth proportional to 32,866.32, 49,306.38 and 10,680.24 is: 16,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866.32 : 49,306.38 = 10,680.24 : x
  2. Step 2: Convert to fraction form
    32,866.32/49,306.38 = 10,680.24/x
  3. Step 3: Cross multiply
    32,866.32x = 49,306.38 × 10,680.24
  4. Step 4: Simplify right side
    32,866.32x = 526,603,971.93
  5. Step 5: Solve for x
    x = 526,603,971.93/32,866.32
  6. Step 6: Final answer
    x = 16,022.60

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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.