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Finding the Fourth Proportional to 75,082.54, 112,623.80 and 34,551.96

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Solution

The fourth proportional to 75,082.54, 112,623.80 and 34,551.96 is: 51,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.54 : 112,623.80 = 34,551.96 : x
  2. Step 2: Convert to fraction form
    75,082.54/112,623.80 = 34,551.96/x
  3. Step 3: Cross multiply
    75,082.54x = 112,623.80 × 34,551.96
  4. Step 4: Simplify right side
    75,082.54x = 3,891,372,469.53
  5. Step 5: Solve for x
    x = 3,891,372,469.53/75,082.54
  6. Step 6: Final answer
    x = 51,827.93

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Why These Related Problems?

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