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Finding the Fourth Proportional to 31,011.88, 46,523.96 and 8,826.13

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Solution

The fourth proportional to 31,011.88, 46,523.96 and 8,826.13 is: 13,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.88 : 46,523.96 = 8,826.13 : x
  2. Step 2: Convert to fraction form
    31,011.88/46,523.96 = 8,826.13/x
  3. Step 3: Cross multiply
    31,011.88x = 46,523.96 × 8,826.13
  4. Step 4: Simplify right side
    31,011.88x = 410,626,424.83
  5. Step 5: Solve for x
    x = 410,626,424.83/31,011.88
  6. Step 6: Final answer
    x = 13,240.94

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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.