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Finding the Fourth Proportional to 83,284.26, 114,932.43 and 45,558.51

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Solution

The fourth proportional to 83,284.26, 114,932.43 and 45,558.51 is: 62,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284.26 : 114,932.43 = 45,558.51 : x
  2. Step 2: Convert to fraction form
    83,284.26/114,932.43 = 45,558.51/x
  3. Step 3: Cross multiply
    83,284.26x = 114,932.43 × 45,558.51
  4. Step 4: Simplify right side
    83,284.26x = 5,236,150,261.48
  5. Step 5: Solve for x
    x = 5,236,150,261.48/83,284.26
  6. Step 6: Final answer
    x = 62,870.83

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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.