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Finding the Fourth Proportional to 47,267.64, 65,226.85 and 29,362.27

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Solution

The fourth proportional to 47,267.64, 65,226.85 and 29,362.27 is: 40,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,267.64 : 65,226.85 = 29,362.27 : x
  2. Step 2: Convert to fraction form
    47,267.64/65,226.85 = 29,362.27/x
  3. Step 3: Cross multiply
    47,267.64x = 65,226.85 × 29,362.27
  4. Step 4: Simplify right side
    47,267.64x = 1,915,208,380.95
  5. Step 5: Solve for x
    x = 1,915,208,380.95/47,267.64
  6. Step 6: Final answer
    x = 40,518.38

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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.