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Finding the Fourth Proportional to 31,222.88, 46,827.32 and 9,031.32

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Solution

The fourth proportional to 31,222.88, 46,827.32 and 9,031.32 is: 13,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.88 : 46,827.32 = 9,031.32 : x
  2. Step 2: Convert to fraction form
    31,222.88/46,827.32 = 9,031.32/x
  3. Step 3: Cross multiply
    31,222.88x = 46,827.32 × 9,031.32
  4. Step 4: Simplify right side
    31,222.88x = 422,912,511.66
  5. Step 5: Solve for x
    x = 422,912,511.66/31,222.88
  6. Step 6: Final answer
    x = 13,544.96

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1.5x scale

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.