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Finding the Fourth Proportional to 47,741.38, 65,884.35 and 26,522.62

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Solution

The fourth proportional to 47,741.38, 65,884.35 and 26,522.62 is: 36,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,741.38 : 65,884.35 = 26,522.62 : x
  2. Step 2: Convert to fraction form
    47,741.38/65,884.35 = 26,522.62/x
  3. Step 3: Cross multiply
    47,741.38x = 65,884.35 × 26,522.62
  4. Step 4: Simplify right side
    47,741.38x = 1,747,425,579.00
  5. Step 5: Solve for x
    x = 1,747,425,579.00/47,741.38
  6. Step 6: Final answer
    x = 36,601.91

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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.