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Finding the Fourth Proportional to 83,175.45, 114,782.41 and 45,449.70

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Solution

The fourth proportional to 83,175.45, 114,782.41 and 45,449.70 is: 62,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.45 : 114,782.41 = 45,449.70 : x
  2. Step 2: Convert to fraction form
    83,175.45/114,782.41 = 45,449.70/x
  3. Step 3: Cross multiply
    83,175.45x = 114,782.41 × 45,449.70
  4. Step 4: Simplify right side
    83,175.45x = 5,216,825,525.86
  5. Step 5: Solve for x
    x = 5,216,825,525.86/83,175.45
  6. Step 6: Final answer
    x = 62,720.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.