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Finding the Fourth Proportional to 31,222.64, 46,826.88 and 9,031.08

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Solution

The fourth proportional to 31,222.64, 46,826.88 and 9,031.08 is: 13,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.64 : 46,826.88 = 9,031.08 : x
  2. Step 2: Convert to fraction form
    31,222.64/46,826.88 = 9,031.08/x
  3. Step 3: Cross multiply
    31,222.64x = 46,826.88 × 9,031.08
  4. Step 4: Simplify right side
    31,222.64x = 422,897,299.43
  5. Step 5: Solve for x
    x = 422,897,299.43/31,222.64
  6. Step 6: Final answer
    x = 13,544.57

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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.