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Finding the Fourth Proportional to 29,500.78, 44,249.86 and 9,509.82

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Solution

The fourth proportional to 29,500.78, 44,249.86 and 9,509.82 is: 14,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500.78 : 44,249.86 = 9,509.82 : x
  2. Step 2: Convert to fraction form
    29,500.78/44,249.86 = 9,509.82/x
  3. Step 3: Cross multiply
    29,500.78x = 44,249.86 × 9,509.82
  4. Step 4: Simplify right side
    29,500.78x = 420,808,203.63
  5. Step 5: Solve for x
    x = 420,808,203.63/29,500.78
  6. Step 6: Final answer
    x = 14,264.31

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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.