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Finding the Fourth Proportional to 83,314.86, 114,974 and 45,074.28

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Solution

The fourth proportional to 83,314.86, 114,974 and 45,074.28 is: 62,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314.86 : 114,974 = 45,074.28 : x
  2. Step 2: Convert to fraction form
    83,314.86/114,974 = 45,074.28/x
  3. Step 3: Cross multiply
    83,314.86x = 114,974 × 45,074.28
  4. Step 4: Simplify right side
    83,314.86x = 5,182,370,268.72
  5. Step 5: Solve for x
    x = 5,182,370,268.72/83,314.86
  6. Step 6: Final answer
    x = 62,202.23

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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.