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Finding the Fourth Proportional to 96,510.96, 144,738.72 and 33,314.64

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Solution

The fourth proportional to 96,510.96, 144,738.72 and 33,314.64 is: 49,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,510.96 : 144,738.72 = 33,314.64 : x
  2. Step 2: Convert to fraction form
    96,510.96/144,738.72 = 33,314.64/x
  3. Step 3: Cross multiply
    96,510.96x = 144,738.72 × 33,314.64
  4. Step 4: Simplify right side
    96,510.96x = 4,821,918,350.86
  5. Step 5: Solve for x
    x = 4,821,918,350.86/96,510.96
  6. Step 6: Final answer
    x = 49,962.39

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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.