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Finding the Fourth Proportional to 96,774.38, 145,182.30 and 33,596.50

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Solution

The fourth proportional to 96,774.38, 145,182.30 and 33,596.50 is: 50,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.38 : 145,182.30 = 33,596.50 : x
  2. Step 2: Convert to fraction form
    96,774.38/145,182.30 = 33,596.50/x
  3. Step 3: Cross multiply
    96,774.38x = 145,182.30 × 33,596.50
  4. Step 4: Simplify right side
    96,774.38x = 4,877,617,141.95
  5. Step 5: Solve for x
    x = 4,877,617,141.95/96,774.38
  6. Step 6: Final answer
    x = 50,401.95

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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.