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Finding the Fourth Proportional to 31,575.39, 47,363.13 and 9,388.99

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Solution

The fourth proportional to 31,575.39, 47,363.13 and 9,388.99 is: 14,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.39 : 47,363.13 = 9,388.99 : x
  2. Step 2: Convert to fraction form
    31,575.39/47,363.13 = 9,388.99/x
  3. Step 3: Cross multiply
    31,575.39x = 47,363.13 × 9,388.99
  4. Step 4: Simplify right side
    31,575.39x = 444,691,953.94
  5. Step 5: Solve for x
    x = 444,691,953.94/31,575.39
  6. Step 6: Final answer
    x = 14,083.50

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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.