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Finding the Fourth Proportional to 37,631, 56,450.28 and 9,929

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Solution

The fourth proportional to 37,631, 56,450.28 and 9,929 is: 14,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,631 : 56,450.28 = 9,929 : x
  2. Step 2: Convert to fraction form
    37,631/56,450.28 = 9,929/x
  3. Step 3: Cross multiply
    37,631x = 56,450.28 × 9,929
  4. Step 4: Simplify right side
    37,631x = 560,494,830.12
  5. Step 5: Solve for x
    x = 560,494,830.12/37,631
  6. Step 6: Final answer
    x = 14,894.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.