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Finding the Fourth Proportional to 83,738.53, 115,559.15 and 46,015.21

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Solution

The fourth proportional to 83,738.53, 115,559.15 and 46,015.21 is: 63,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738.53 : 115,559.15 = 46,015.21 : x
  2. Step 2: Convert to fraction form
    83,738.53/115,559.15 = 46,015.21/x
  3. Step 3: Cross multiply
    83,738.53x = 115,559.15 × 46,015.21
  4. Step 4: Simplify right side
    83,738.53x = 5,317,478,324.60
  5. Step 5: Solve for x
    x = 5,317,478,324.60/83,738.53
  6. Step 6: Final answer
    x = 63,500.98

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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.