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Finding the Fourth Proportional to 31,849.03, 47,780.91 and 9,360.05

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Solution

The fourth proportional to 31,849.03, 47,780.91 and 9,360.05 is: 14,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849.03 : 47,780.91 = 9,360.05 : x
  2. Step 2: Convert to fraction form
    31,849.03/47,780.91 = 9,360.05/x
  3. Step 3: Cross multiply
    31,849.03x = 47,780.91 × 9,360.05
  4. Step 4: Simplify right side
    31,849.03x = 447,231,467.74
  5. Step 5: Solve for x
    x = 447,231,467.74/31,849.03
  6. Step 6: Final answer
    x = 14,042.23

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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.