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Finding the Fourth Proportional to 49,728.66, 74,560.87 and 21,284.16

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Solution

The fourth proportional to 49,728.66, 74,560.87 and 21,284.16 is: 31,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,728.66 : 74,560.87 = 21,284.16 : x
  2. Step 2: Convert to fraction form
    49,728.66/74,560.87 = 21,284.16/x
  3. Step 3: Cross multiply
    49,728.66x = 74,560.87 × 21,284.16
  4. Step 4: Simplify right side
    49,728.66x = 1,586,965,486.82
  5. Step 5: Solve for x
    x = 1,586,965,486.82/49,728.66
  6. Step 6: Final answer
    x = 31,912.49

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Why These Related Problems?

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