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Finding the Fourth Proportional to 29,651.83, 44,477.78 and 7,465.21

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Solution

The fourth proportional to 29,651.83, 44,477.78 and 7,465.21 is: 11,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,651.83 : 44,477.78 = 7,465.21 : x
  2. Step 2: Convert to fraction form
    29,651.83/44,477.78 = 7,465.21/x
  3. Step 3: Cross multiply
    29,651.83x = 44,477.78 × 7,465.21
  4. Step 4: Simplify right side
    29,651.83x = 332,035,764.31
  5. Step 5: Solve for x
    x = 332,035,764.31/29,651.83
  6. Step 6: Final answer
    x = 11,197.82

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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.