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Finding the Fourth Proportional to 32,095.67, 44,288.12 and 17,753.58

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Solution

The fourth proportional to 32,095.67, 44,288.12 and 17,753.58 is: 24,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.67 : 44,288.12 = 17,753.58 : x
  2. Step 2: Convert to fraction form
    32,095.67/44,288.12 = 17,753.58/x
  3. Step 3: Cross multiply
    32,095.67x = 44,288.12 × 17,753.58
  4. Step 4: Simplify right side
    32,095.67x = 786,272,625.99
  5. Step 5: Solve for x
    x = 786,272,625.99/32,095.67
  6. Step 6: Final answer
    x = 24,497.78

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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.