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Finding the Fourth Proportional to 96,837.14, 145,279.06 and 33,648.06

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Solution

The fourth proportional to 96,837.14, 145,279.06 and 33,648.06 is: 50,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,837.14 : 145,279.06 = 33,648.06 : x
  2. Step 2: Convert to fraction form
    96,837.14/145,279.06 = 33,648.06/x
  3. Step 3: Cross multiply
    96,837.14x = 145,279.06 × 33,648.06
  4. Step 4: Simplify right side
    96,837.14x = 4,888,358,527.62
  5. Step 5: Solve for x
    x = 4,888,358,527.62/96,837.14
  6. Step 6: Final answer
    x = 50,480.20

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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.