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Finding the Fourth Proportional to 32,833.26, 49,257.66 and 10,646.64

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Solution

The fourth proportional to 32,833.26, 49,257.66 and 10,646.64 is: 15,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.26 : 49,257.66 = 10,646.64 : x
  2. Step 2: Convert to fraction form
    32,833.26/49,257.66 = 10,646.64/x
  3. Step 3: Cross multiply
    32,833.26x = 49,257.66 × 10,646.64
  4. Step 4: Simplify right side
    32,833.26x = 524,428,573.26
  5. Step 5: Solve for x
    x = 524,428,573.26/32,833.26
  6. Step 6: Final answer
    x = 15,972.48

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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.