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Finding the Fourth Proportional to 31,213.38, 46,821.44 and 9,029.00

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Solution

The fourth proportional to 31,213.38, 46,821.44 and 9,029.00 is: 13,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.38 : 46,821.44 = 9,029.00 : x
  2. Step 2: Convert to fraction form
    31,213.38/46,821.44 = 9,029.00/x
  3. Step 3: Cross multiply
    31,213.38x = 46,821.44 × 9,029.00
  4. Step 4: Simplify right side
    31,213.38x = 422,750,695.02
  5. Step 5: Solve for x
    x = 422,750,695.02/31,213.38
  6. Step 6: Final answer
    x = 13,543.89

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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.