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Finding the Fourth Proportional to 29,839.71, 44,756.22 and 7,653.61

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Solution

The fourth proportional to 29,839.71, 44,756.22 and 7,653.61 is: 11,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.71 : 44,756.22 = 7,653.61 : x
  2. Step 2: Convert to fraction form
    29,839.71/44,756.22 = 7,653.61/x
  3. Step 3: Cross multiply
    29,839.71x = 44,756.22 × 7,653.61
  4. Step 4: Simplify right side
    29,839.71x = 342,546,652.95
  5. Step 5: Solve for x
    x = 342,546,652.95/29,839.71
  6. Step 6: Final answer
    x = 11,479.56

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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.