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Finding the Fourth Proportional to 32,078.27, 44,264.15 and 17,736.16

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Solution

The fourth proportional to 32,078.27, 44,264.15 and 17,736.16 is: 24,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.27 : 44,264.15 = 17,736.16 : x
  2. Step 2: Convert to fraction form
    32,078.27/44,264.15 = 17,736.16/x
  3. Step 3: Cross multiply
    32,078.27x = 44,264.15 × 17,736.16
  4. Step 4: Simplify right side
    32,078.27x = 785,076,046.66
  5. Step 5: Solve for x
    x = 785,076,046.66/32,078.27
  6. Step 6: Final answer
    x = 24,473.77

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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.