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Finding the Fourth Proportional to 32,024.75, 48,044.43 and 11,248.25

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Solution

The fourth proportional to 32,024.75, 48,044.43 and 11,248.25 is: 16,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.75 : 48,044.43 = 11,248.25 : x
  2. Step 2: Convert to fraction form
    32,024.75/48,044.43 = 11,248.25/x
  3. Step 3: Cross multiply
    32,024.75x = 48,044.43 × 11,248.25
  4. Step 4: Simplify right side
    32,024.75x = 540,415,759.75
  5. Step 5: Solve for x
    x = 540,415,759.75/32,024.75
  6. Step 6: Final answer
    x = 16,874.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.