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Finding the Fourth Proportional to 47,744.29, 65,862.41 and 32,431.62

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Solution

The fourth proportional to 47,744.29, 65,862.41 and 32,431.62 is: 44,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,744.29 : 65,862.41 = 32,431.62 : x
  2. Step 2: Convert to fraction form
    47,744.29/65,862.41 = 32,431.62/x
  3. Step 3: Cross multiply
    47,744.29x = 65,862.41 × 32,431.62
  4. Step 4: Simplify right side
    47,744.29x = 2,136,024,653.40
  5. Step 5: Solve for x
    x = 2,136,024,653.40/47,744.29
  6. Step 6: Final answer
    x = 44,738.85

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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.