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Finding the Fourth Proportional to 83,830.52, 115,733.94 and 55,574.48

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Solution

The fourth proportional to 83,830.52, 115,733.94 and 55,574.48 is: 76,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,830.52 : 115,733.94 = 55,574.48 : x
  2. Step 2: Convert to fraction form
    83,830.52/115,733.94 = 55,574.48/x
  3. Step 3: Cross multiply
    83,830.52x = 115,733.94 × 55,574.48
  4. Step 4: Simplify right side
    83,830.52x = 6,431,853,533.85
  5. Step 5: Solve for x
    x = 6,431,853,533.85/83,830.52
  6. Step 6: Final answer
    x = 76,724.49

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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.