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Finding the Fourth Proportional to 32,231.97, 48,347.34 and 13,252.47

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Solution

The fourth proportional to 32,231.97, 48,347.34 and 13,252.47 is: 19,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.97 : 48,347.34 = 13,252.47 : x
  2. Step 2: Convert to fraction form
    32,231.97/48,347.34 = 13,252.47/x
  3. Step 3: Cross multiply
    32,231.97x = 48,347.34 × 13,252.47
  4. Step 4: Simplify right side
    32,231.97x = 640,721,672.93
  5. Step 5: Solve for x
    x = 640,721,672.93/32,231.97
  6. Step 6: Final answer
    x = 19,878.45

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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.