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Finding the Fourth Proportional to 96,188.75, 132,738 and 53,747.63

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Solution

The fourth proportional to 96,188.75, 132,738 and 53,747.63 is: 74,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,188.75 : 132,738 = 53,747.63 : x
  2. Step 2: Convert to fraction form
    96,188.75/132,738 = 53,747.63/x
  3. Step 3: Cross multiply
    96,188.75x = 132,738 × 53,747.63
  4. Step 4: Simplify right side
    96,188.75x = 7,134,352,910.94
  5. Step 5: Solve for x
    x = 7,134,352,910.94/96,188.75
  6. Step 6: Final answer
    x = 74,170.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.