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Finding the Fourth Proportional to 47,768.50, 65,900.06 and 29,832.38

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Solution

The fourth proportional to 47,768.50, 65,900.06 and 29,832.38 is: 41,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.50 : 65,900.06 = 29,832.38 : x
  2. Step 2: Convert to fraction form
    47,768.50/65,900.06 = 29,832.38/x
  3. Step 3: Cross multiply
    47,768.50x = 65,900.06 × 29,832.38
  4. Step 4: Simplify right side
    47,768.50x = 1,965,955,631.94
  5. Step 5: Solve for x
    x = 1,965,955,631.94/47,768.50
  6. Step 6: Final answer
    x = 41,155.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.