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Finding the Fourth Proportional to 96,988.96, 133,824.70 and 56,694.93

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Solution

The fourth proportional to 96,988.96, 133,824.70 and 56,694.93 is: 78,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,988.96 : 133,824.70 = 56,694.93 : x
  2. Step 2: Convert to fraction form
    96,988.96/133,824.70 = 56,694.93/x
  3. Step 3: Cross multiply
    96,988.96x = 133,824.70 × 56,694.93
  4. Step 4: Simplify right side
    96,988.96x = 7,587,181,567.80
  5. Step 5: Solve for x
    x = 7,587,181,567.80/96,988.96
  6. Step 6: Final answer
    x = 78,227.27

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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.