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Finding the Fourth Proportional to 29,834.12, 44,746.06 and 7,941

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Solution

The fourth proportional to 29,834.12, 44,746.06 and 7,941 is: 11,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.12 : 44,746.06 = 7,941 : x
  2. Step 2: Convert to fraction form
    29,834.12/44,746.06 = 7,941/x
  3. Step 3: Cross multiply
    29,834.12x = 44,746.06 × 7,941
  4. Step 4: Simplify right side
    29,834.12x = 355,328,462.46
  5. Step 5: Solve for x
    x = 355,328,462.46/29,834.12
  6. Step 6: Final answer
    x = 11,910.14

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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.