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Finding the Fourth Proportional to 37,344.35, 56,033 and 19,809.88

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Solution

The fourth proportional to 37,344.35, 56,033 and 19,809.88 is: 29,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,344.35 : 56,033 = 19,809.88 : x
  2. Step 2: Convert to fraction form
    37,344.35/56,033 = 19,809.88/x
  3. Step 3: Cross multiply
    37,344.35x = 56,033 × 19,809.88
  4. Step 4: Simplify right side
    37,344.35x = 1,110,007,006.04
  5. Step 5: Solve for x
    x = 1,110,007,006.04/37,344.35
  6. Step 6: Final answer
    x = 29,723.56

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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.