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Finding the Fourth Proportional to 47,631.38, 65,731.67 and 26,410.66

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Solution

The fourth proportional to 47,631.38, 65,731.67 and 26,410.66 is: 36,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,631.38 : 65,731.67 = 26,410.66 : x
  2. Step 2: Convert to fraction form
    47,631.38/65,731.67 = 26,410.66/x
  3. Step 3: Cross multiply
    47,631.38x = 65,731.67 × 26,410.66
  4. Step 4: Simplify right side
    47,631.38x = 1,736,016,590.26
  5. Step 5: Solve for x
    x = 1,736,016,590.26/47,631.38
  6. Step 6: Final answer
    x = 36,446.91

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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.