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Finding the Fourth Proportional to 37,650, 51,979.48 and 23,521.98

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Solution

The fourth proportional to 37,650, 51,979.48 and 23,521.98 is: 32,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,650 : 51,979.48 = 23,521.98 : x
  2. Step 2: Convert to fraction form
    37,650/51,979.48 = 23,521.98/x
  3. Step 3: Cross multiply
    37,650x = 51,979.48 × 23,521.98
  4. Step 4: Simplify right side
    37,650x = 1,222,660,288.97
  5. Step 5: Solve for x
    x = 1,222,660,288.97/37,650
  6. Step 6: Final answer
    x = 32,474.38

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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.