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Finding the Fourth Proportional to 37,333, 56,002.76 and 9,631

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Solution

The fourth proportional to 37,333, 56,002.76 and 9,631 is: 14,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,333 : 56,002.76 = 9,631 : x
  2. Step 2: Convert to fraction form
    37,333/56,002.76 = 9,631/x
  3. Step 3: Cross multiply
    37,333x = 56,002.76 × 9,631
  4. Step 4: Simplify right side
    37,333x = 539,362,581.56
  5. Step 5: Solve for x
    x = 539,362,581.56/37,333
  6. Step 6: Final answer
    x = 14,447.34

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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.