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Finding the Fourth Proportional to 83,262, 114,899.22 and 45,535.44

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Solution

The fourth proportional to 83,262, 114,899.22 and 45,535.44 is: 62,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262 : 114,899.22 = 45,535.44 : x
  2. Step 2: Convert to fraction form
    83,262/114,899.22 = 45,535.44/x
  3. Step 3: Cross multiply
    83,262x = 114,899.22 × 45,535.44
  4. Step 4: Simplify right side
    83,262x = 5,231,986,538.36
  5. Step 5: Solve for x
    x = 5,231,986,538.36/83,262
  6. Step 6: Final answer
    x = 62,837.63

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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.