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Finding the Fourth Proportional to 31,019.34, 46,529.30 and 8,832.70

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Solution

The fourth proportional to 31,019.34, 46,529.30 and 8,832.70 is: 13,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.34 : 46,529.30 = 8,832.70 : x
  2. Step 2: Convert to fraction form
    31,019.34/46,529.30 = 8,832.70/x
  3. Step 3: Cross multiply
    31,019.34x = 46,529.30 × 8,832.70
  4. Step 4: Simplify right side
    31,019.34x = 410,979,348.11
  5. Step 5: Solve for x
    x = 410,979,348.11/31,019.34
  6. Step 6: Final answer
    x = 13,249.13

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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.