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Finding the Fourth Proportional to 31,223.92, 46,835.94 and 7,849.48

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Solution

The fourth proportional to 31,223.92, 46,835.94 and 7,849.48 is: 11,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.92 : 46,835.94 = 7,849.48 : x
  2. Step 2: Convert to fraction form
    31,223.92/46,835.94 = 7,849.48/x
  3. Step 3: Cross multiply
    31,223.92x = 46,835.94 × 7,849.48
  4. Step 4: Simplify right side
    31,223.92x = 367,637,774.31
  5. Step 5: Solve for x
    x = 367,637,774.31/31,223.92
  6. Step 6: Final answer
    x = 11,774.24

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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.