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Finding the Fourth Proportional to 31,225.50, 46,834.81 and 7,851.94

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Solution

The fourth proportional to 31,225.50, 46,834.81 and 7,851.94 is: 11,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.50 : 46,834.81 = 7,851.94 : x
  2. Step 2: Convert to fraction form
    31,225.50/46,834.81 = 7,851.94/x
  3. Step 3: Cross multiply
    31,225.50x = 46,834.81 × 7,851.94
  4. Step 4: Simplify right side
    31,225.50x = 367,743,981.31
  5. Step 5: Solve for x
    x = 367,743,981.31/31,225.50
  6. Step 6: Final answer
    x = 11,777.04

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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.