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Finding the Fourth Proportional to 83,704.04, 125,483.16 and 33,782.12

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Solution

The fourth proportional to 83,704.04, 125,483.16 and 33,782.12 is: 50,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.04 : 125,483.16 = 33,782.12 : x
  2. Step 2: Convert to fraction form
    83,704.04/125,483.16 = 33,782.12/x
  3. Step 3: Cross multiply
    83,704.04x = 125,483.16 × 33,782.12
  4. Step 4: Simplify right side
    83,704.04x = 4,239,087,169.10
  5. Step 5: Solve for x
    x = 4,239,087,169.10/83,704.04
  6. Step 6: Final answer
    x = 50,643.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.