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Finding the Fourth Proportional to 37,400.94, 51,614.82 and 21,490.38

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Solution

The fourth proportional to 37,400.94, 51,614.82 and 21,490.38 is: 29,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400.94 : 51,614.82 = 21,490.38 : x
  2. Step 2: Convert to fraction form
    37,400.94/51,614.82 = 21,490.38/x
  3. Step 3: Cross multiply
    37,400.94x = 51,614.82 × 21,490.38
  4. Step 4: Simplify right side
    37,400.94x = 1,109,222,095.43
  5. Step 5: Solve for x
    x = 1,109,222,095.43/37,400.94
  6. Step 6: Final answer
    x = 29,657.60

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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.