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Finding the Fourth Proportional to 31,287.14, 46,930.31 and 7,594.88

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Solution

The fourth proportional to 31,287.14, 46,930.31 and 7,594.88 is: 11,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.14 : 46,930.31 = 7,594.88 : x
  2. Step 2: Convert to fraction form
    31,287.14/46,930.31 = 7,594.88/x
  3. Step 3: Cross multiply
    31,287.14x = 46,930.31 × 7,594.88
  4. Step 4: Simplify right side
    31,287.14x = 356,429,828.67
  5. Step 5: Solve for x
    x = 356,429,828.67/31,287.14
  6. Step 6: Final answer
    x = 11,392.22

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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.