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Finding the Fourth Proportional to 29,760, 44,639.16 and 11,037.86

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Solution

The fourth proportional to 29,760, 44,639.16 and 11,037.86 is: 16,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760 : 44,639.16 = 11,037.86 : x
  2. Step 2: Convert to fraction form
    29,760/44,639.16 = 11,037.86/x
  3. Step 3: Cross multiply
    29,760x = 44,639.16 × 11,037.86
  4. Step 4: Simplify right side
    29,760x = 492,720,798.60
  5. Step 5: Solve for x
    x = 492,720,798.60/29,760
  6. Step 6: Final answer
    x = 16,556.48

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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.