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Finding the Fourth Proportional to 31,214.88, 46,815.34 and 9,023.32

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Solution

The fourth proportional to 31,214.88, 46,815.34 and 9,023.32 is: 13,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.88 : 46,815.34 = 9,023.32 : x
  2. Step 2: Convert to fraction form
    31,214.88/46,815.34 = 9,023.32/x
  3. Step 3: Cross multiply
    31,214.88x = 46,815.34 × 9,023.32
  4. Step 4: Simplify right side
    31,214.88x = 422,429,793.73
  5. Step 5: Solve for x
    x = 422,429,793.73/31,214.88
  6. Step 6: Final answer
    x = 13,532.96

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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.