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Finding the Fourth Proportional to 29,835.77, 44,753.71 and 7,649.22

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Solution

The fourth proportional to 29,835.77, 44,753.71 and 7,649.22 is: 11,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.77 : 44,753.71 = 7,649.22 : x
  2. Step 2: Convert to fraction form
    29,835.77/44,753.71 = 7,649.22/x
  3. Step 3: Cross multiply
    29,835.77x = 44,753.71 × 7,649.22
  4. Step 4: Simplify right side
    29,835.77x = 342,330,940.14
  5. Step 5: Solve for x
    x = 342,330,940.14/29,835.77
  6. Step 6: Final answer
    x = 11,473.84

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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.