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Finding the Fourth Proportional to 32,097.54, 44,293.77 and 17,757

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Solution

The fourth proportional to 32,097.54, 44,293.77 and 17,757 is: 24,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.54 : 44,293.77 = 17,757 : x
  2. Step 2: Convert to fraction form
    32,097.54/44,293.77 = 17,757/x
  3. Step 3: Cross multiply
    32,097.54x = 44,293.77 × 17,757
  4. Step 4: Simplify right side
    32,097.54x = 786,524,473.89
  5. Step 5: Solve for x
    x = 786,524,473.89/32,097.54
  6. Step 6: Final answer
    x = 24,504.20

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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.