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Finding the Fourth Proportional to 32,854.53, 49,284.43 and 13,122.26

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Solution

The fourth proportional to 32,854.53, 49,284.43 and 13,122.26 is: 19,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.53 : 49,284.43 = 13,122.26 : x
  2. Step 2: Convert to fraction form
    32,854.53/49,284.43 = 13,122.26/x
  3. Step 3: Cross multiply
    32,854.53x = 49,284.43 × 13,122.26
  4. Step 4: Simplify right side
    32,854.53x = 646,722,825.18
  5. Step 5: Solve for x
    x = 646,722,825.18/32,854.53
  6. Step 6: Final answer
    x = 19,684.43

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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.