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Finding the Fourth Proportional to 31,222.92, 46,834.44 and 7,848.48

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Solution

The fourth proportional to 31,222.92, 46,834.44 and 7,848.48 is: 11,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.92 : 46,834.44 = 7,848.48 : x
  2. Step 2: Convert to fraction form
    31,222.92/46,834.44 = 7,848.48/x
  3. Step 3: Cross multiply
    31,222.92x = 46,834.44 × 7,848.48
  4. Step 4: Simplify right side
    31,222.92x = 367,579,165.65
  5. Step 5: Solve for x
    x = 367,579,165.65/31,222.92
  6. Step 6: Final answer
    x = 11,772.74

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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.