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Finding the Fourth Proportional to 75,294.33, 112,912.70 and 25,361

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Solution

The fourth proportional to 75,294.33, 112,912.70 and 25,361 is: 38,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.33 : 112,912.70 = 25,361 : x
  2. Step 2: Convert to fraction form
    75,294.33/112,912.70 = 25,361/x
  3. Step 3: Cross multiply
    75,294.33x = 112,912.70 × 25,361
  4. Step 4: Simplify right side
    75,294.33x = 2,863,578,984.70
  5. Step 5: Solve for x
    x = 2,863,578,984.70/75,294.33
  6. Step 6: Final answer
    x = 38,031.80

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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.