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Finding the Fourth Proportional to 29,865.06, 44,797.59 and 7,678.47

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Solution

The fourth proportional to 29,865.06, 44,797.59 and 7,678.47 is: 11,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,865.06 : 44,797.59 = 7,678.47 : x
  2. Step 2: Convert to fraction form
    29,865.06/44,797.59 = 7,678.47/x
  3. Step 3: Cross multiply
    29,865.06x = 44,797.59 × 7,678.47
  4. Step 4: Simplify right side
    29,865.06x = 343,976,950.89
  5. Step 5: Solve for x
    x = 343,976,950.89/29,865.06
  6. Step 6: Final answer
    x = 11,517.71

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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.