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Finding the Fourth Proportional to 32,076.75, 44,264.13 and 17,735.76

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Solution

The fourth proportional to 32,076.75, 44,264.13 and 17,735.76 is: 24,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.75 : 44,264.13 = 17,735.76 : x
  2. Step 2: Convert to fraction form
    32,076.75/44,264.13 = 17,735.76/x
  3. Step 3: Cross multiply
    32,076.75x = 44,264.13 × 17,735.76
  4. Step 4: Simplify right side
    32,076.75x = 785,057,720.63
  5. Step 5: Solve for x
    x = 785,057,720.63/32,076.75
  6. Step 6: Final answer
    x = 24,474.35

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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.