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Finding the Fourth Proportional to 96,993.12, 133,849.98 and 56,698.68

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Solution

The fourth proportional to 96,993.12, 133,849.98 and 56,698.68 is: 78,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,993.12 : 133,849.98 = 56,698.68 : x
  2. Step 2: Convert to fraction form
    96,993.12/133,849.98 = 56,698.68/x
  3. Step 3: Cross multiply
    96,993.12x = 133,849.98 × 56,698.68
  4. Step 4: Simplify right side
    96,993.12x = 7,589,117,184.03
  5. Step 5: Solve for x
    x = 7,589,117,184.03/96,993.12
  6. Step 6: Final answer
    x = 78,243.87

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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.