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Finding the Fourth Proportional to 96,841.50, 145,267.74 and 34,512

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Solution

The fourth proportional to 96,841.50, 145,267.74 and 34,512 is: 51,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,841.50 : 145,267.74 = 34,512 : x
  2. Step 2: Convert to fraction form
    96,841.50/145,267.74 = 34,512/x
  3. Step 3: Cross multiply
    96,841.50x = 145,267.74 × 34,512
  4. Step 4: Simplify right side
    96,841.50x = 5,013,480,242.88
  5. Step 5: Solve for x
    x = 5,013,480,242.88/96,841.50
  6. Step 6: Final answer
    x = 51,769.96

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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.