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Finding the Fourth Proportional to 47,644.90, 65,754 and 26,431

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Solution

The fourth proportional to 47,644.90, 65,754 and 26,431 is: 36,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.90 : 65,754 = 26,431 : x
  2. Step 2: Convert to fraction form
    47,644.90/65,754 = 26,431/x
  3. Step 3: Cross multiply
    47,644.90x = 65,754 × 26,431
  4. Step 4: Simplify right side
    47,644.90x = 1,737,943,974
  5. Step 5: Solve for x
    x = 1,737,943,974/47,644.90
  6. Step 6: Final answer
    x = 36,477.02

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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.