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Finding the Fourth Proportional to 52,164.16, 71,975.46 and 30,950.32

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Solution

The fourth proportional to 52,164.16, 71,975.46 and 30,950.32 is: 42,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164.16 : 71,975.46 = 30,950.32 : x
  2. Step 2: Convert to fraction form
    52,164.16/71,975.46 = 30,950.32/x
  3. Step 3: Cross multiply
    52,164.16x = 71,975.46 × 30,950.32
  4. Step 4: Simplify right side
    52,164.16x = 2,227,663,519.15
  5. Step 5: Solve for x
    x = 2,227,663,519.15/52,164.16
  6. Step 6: Final answer
    x = 42,704.87

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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.