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Finding the Fourth Proportional to 52,516.16, 78,589.20 and 32,804

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Solution

The fourth proportional to 52,516.16, 78,589.20 and 32,804 is: 49,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,516.16 : 78,589.20 = 32,804 : x
  2. Step 2: Convert to fraction form
    52,516.16/78,589.20 = 32,804/x
  3. Step 3: Cross multiply
    52,516.16x = 78,589.20 × 32,804
  4. Step 4: Simplify right side
    52,516.16x = 2,578,040,116.80
  5. Step 5: Solve for x
    x = 2,578,040,116.80/52,516.16
  6. Step 6: Final answer
    x = 49,090.42

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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.