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Finding the Fourth Proportional to 83,057.39, 114,632.31 and 52,811.18

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Solution

The fourth proportional to 83,057.39, 114,632.31 and 52,811.18 is: 72,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.39 : 114,632.31 = 52,811.18 : x
  2. Step 2: Convert to fraction form
    83,057.39/114,632.31 = 52,811.18/x
  3. Step 3: Cross multiply
    83,057.39x = 114,632.31 × 52,811.18
  4. Step 4: Simplify right side
    83,057.39x = 6,053,866,984.06
  5. Step 5: Solve for x
    x = 6,053,866,984.06/83,057.39
  6. Step 6: Final answer
    x = 72,887.76

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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.