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Finding the Fourth Proportional to 32,040.49, 44,216 and 17,893.57

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Solution

The fourth proportional to 32,040.49, 44,216 and 17,893.57 is: 24,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,040.49 : 44,216 = 17,893.57 : x
  2. Step 2: Convert to fraction form
    32,040.49/44,216 = 17,893.57/x
  3. Step 3: Cross multiply
    32,040.49x = 44,216 × 17,893.57
  4. Step 4: Simplify right side
    32,040.49x = 791,182,091.12
  5. Step 5: Solve for x
    x = 791,182,091.12/32,040.49
  6. Step 6: Final answer
    x = 24,693.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.