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Finding the Fourth Proportional to 52,019.04, 71,763.12 and 33,149.28

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Solution

The fourth proportional to 52,019.04, 71,763.12 and 33,149.28 is: 45,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019.04 : 71,763.12 = 33,149.28 : x
  2. Step 2: Convert to fraction form
    52,019.04/71,763.12 = 33,149.28/x
  3. Step 3: Cross multiply
    52,019.04x = 71,763.12 × 33,149.28
  4. Step 4: Simplify right side
    52,019.04x = 2,378,895,758.55
  5. Step 5: Solve for x
    x = 2,378,895,758.55/52,019.04
  6. Step 6: Final answer
    x = 45,731.25

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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.