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Finding the Fourth Proportional to 37,264, 51,424.32 and 20,497

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Solution

The fourth proportional to 37,264, 51,424.32 and 20,497 is: 28,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264 : 51,424.32 = 20,497 : x
  2. Step 2: Convert to fraction form
    37,264/51,424.32 = 20,497/x
  3. Step 3: Cross multiply
    37,264x = 51,424.32 × 20,497
  4. Step 4: Simplify right side
    37,264x = 1,054,044,287.04
  5. Step 5: Solve for x
    x = 1,054,044,287.04/37,264
  6. Step 6: Final answer
    x = 28,285.86

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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.