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Finding the Fourth Proportional to 83,319.74, 114,983.50 and 51,053.80

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Solution

The fourth proportional to 83,319.74, 114,983.50 and 51,053.80 is: 70,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,319.74 : 114,983.50 = 51,053.80 : x
  2. Step 2: Convert to fraction form
    83,319.74/114,983.50 = 51,053.80/x
  3. Step 3: Cross multiply
    83,319.74x = 114,983.50 × 51,053.80
  4. Step 4: Simplify right side
    83,319.74x = 5,870,344,612.30
  5. Step 5: Solve for x
    x = 5,870,344,612.30/83,319.74
  6. Step 6: Final answer
    x = 70,455.63

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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.