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Finding the Fourth Proportional to 37,389, 51,596.82 and 22,485

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Solution

The fourth proportional to 37,389, 51,596.82 and 22,485 is: 31,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,389 : 51,596.82 = 22,485 : x
  2. Step 2: Convert to fraction form
    37,389/51,596.82 = 22,485/x
  3. Step 3: Cross multiply
    37,389x = 51,596.82 × 22,485
  4. Step 4: Simplify right side
    37,389x = 1,160,154,497.70
  5. Step 5: Solve for x
    x = 1,160,154,497.70/37,389
  6. Step 6: Final answer
    x = 31,029.30

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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.