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Finding the Fourth Proportional to 37,834.53, 52,211.64 and 21,928.20

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Solution

The fourth proportional to 37,834.53, 52,211.64 and 21,928.20 is: 30,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,834.53 : 52,211.64 = 21,928.20 : x
  2. Step 2: Convert to fraction form
    37,834.53/52,211.64 = 21,928.20/x
  3. Step 3: Cross multiply
    37,834.53x = 52,211.64 × 21,928.20
  4. Step 4: Simplify right side
    37,834.53x = 1,144,907,464.38
  5. Step 5: Solve for x
    x = 1,144,907,464.38/37,834.53
  6. Step 6: Final answer
    x = 30,260.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.