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Finding the Fourth Proportional to 37,376, 51,578.88 and 22,472

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Solution

The fourth proportional to 37,376, 51,578.88 and 22,472 is: 31,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,376 : 51,578.88 = 22,472 : x
  2. Step 2: Convert to fraction form
    37,376/51,578.88 = 22,472/x
  3. Step 3: Cross multiply
    37,376x = 51,578.88 × 22,472
  4. Step 4: Simplify right side
    37,376x = 1,159,080,591.36
  5. Step 5: Solve for x
    x = 1,159,080,591.36/37,376
  6. Step 6: Final answer
    x = 31,011.36

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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.