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Finding the Fourth Proportional to 47,647.75, 65,754.41 and 26,428.38

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Solution

The fourth proportional to 47,647.75, 65,754.41 and 26,428.38 is: 36,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,647.75 : 65,754.41 = 26,428.38 : x
  2. Step 2: Convert to fraction form
    47,647.75/65,754.41 = 26,428.38/x
  3. Step 3: Cross multiply
    47,647.75x = 65,754.41 × 26,428.38
  4. Step 4: Simplify right side
    47,647.75x = 1,737,782,534.16
  5. Step 5: Solve for x
    x = 1,737,782,534.16/47,647.75
  6. Step 6: Final answer
    x = 36,471.45

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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.