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Finding the Fourth Proportional to 29,838.32, 44,756.44 and 7,651.92

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Solution

The fourth proportional to 29,838.32, 44,756.44 and 7,651.92 is: 11,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.32 : 44,756.44 = 7,651.92 : x
  2. Step 2: Convert to fraction form
    29,838.32/44,756.44 = 7,651.92/x
  3. Step 3: Cross multiply
    29,838.32x = 44,756.44 × 7,651.92
  4. Step 4: Simplify right side
    29,838.32x = 342,472,698.36
  5. Step 5: Solve for x
    x = 342,472,698.36/29,838.32
  6. Step 6: Final answer
    x = 11,477.61

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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.