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Finding the Fourth Proportional to 29,834.17, 44,751.26 and 7,647.74

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Solution

The fourth proportional to 29,834.17, 44,751.26 and 7,647.74 is: 11,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.17 : 44,751.26 = 7,647.74 : x
  2. Step 2: Convert to fraction form
    29,834.17/44,751.26 = 7,647.74/x
  3. Step 3: Cross multiply
    29,834.17x = 44,751.26 × 7,647.74
  4. Step 4: Simplify right side
    29,834.17x = 342,246,068.69
  5. Step 5: Solve for x
    x = 342,246,068.69/29,834.17
  6. Step 6: Final answer
    x = 11,471.61

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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.