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Finding the Fourth Proportional to 83,250.18, 114,888 and 45,524.43

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Solution

The fourth proportional to 83,250.18, 114,888 and 45,524.43 is: 62,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,250.18 : 114,888 = 45,524.43 : x
  2. Step 2: Convert to fraction form
    83,250.18/114,888 = 45,524.43/x
  3. Step 3: Cross multiply
    83,250.18x = 114,888 × 45,524.43
  4. Step 4: Simplify right side
    83,250.18x = 5,230,210,713.84
  5. Step 5: Solve for x
    x = 5,230,210,713.84/83,250.18
  6. Step 6: Final answer
    x = 62,825.22

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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.