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Finding the Fourth Proportional to 47,758.70, 65,879.55 and 29,822.57

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Solution

The fourth proportional to 47,758.70, 65,879.55 and 29,822.57 is: 41,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758.70 : 65,879.55 = 29,822.57 : x
  2. Step 2: Convert to fraction form
    47,758.70/65,879.55 = 29,822.57/x
  3. Step 3: Cross multiply
    47,758.70x = 65,879.55 × 29,822.57
  4. Step 4: Simplify right side
    47,758.70x = 1,964,697,162.05
  5. Step 5: Solve for x
    x = 1,964,697,162.05/47,758.70
  6. Step 6: Final answer
    x = 41,138.00

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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.