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Finding the Fourth Proportional to 96,988.65, 133,824.26 and 56,694.62

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Solution

The fourth proportional to 96,988.65, 133,824.26 and 56,694.62 is: 78,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,988.65 : 133,824.26 = 56,694.62 : x
  2. Step 2: Convert to fraction form
    96,988.65/133,824.26 = 56,694.62/x
  3. Step 3: Cross multiply
    96,988.65x = 133,824.26 × 56,694.62
  4. Step 4: Simplify right side
    96,988.65x = 7,587,114,614.89
  5. Step 5: Solve for x
    x = 7,587,114,614.89/96,988.65
  6. Step 6: Final answer
    x = 78,226.83

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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.