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Finding the Fourth Proportional to 96,823.72, 133,616.82 and 54,385

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Solution

The fourth proportional to 96,823.72, 133,616.82 and 54,385 is: 75,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,823.72 : 133,616.82 = 54,385 : x
  2. Step 2: Convert to fraction form
    96,823.72/133,616.82 = 54,385/x
  3. Step 3: Cross multiply
    96,823.72x = 133,616.82 × 54,385
  4. Step 4: Simplify right side
    96,823.72x = 7,266,750,755.70
  5. Step 5: Solve for x
    x = 7,266,750,755.70/96,823.72
  6. Step 6: Final answer
    x = 75,051.35

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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.