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Finding the Fourth Proportional to 47,640.90, 65,748.45 and 26,427

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Solution

The fourth proportional to 47,640.90, 65,748.45 and 26,427 is: 36,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640.90 : 65,748.45 = 26,427 : x
  2. Step 2: Convert to fraction form
    47,640.90/65,748.45 = 26,427/x
  3. Step 3: Cross multiply
    47,640.90x = 65,748.45 × 26,427
  4. Step 4: Simplify right side
    47,640.90x = 1,737,534,288.15
  5. Step 5: Solve for x
    x = 1,737,534,288.15/47,640.90
  6. Step 6: Final answer
    x = 36,471.48

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