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Finding the Fourth Proportional to 65,136.87, 89,893.22 and 36,459.02

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Solution

The fourth proportional to 65,136.87, 89,893.22 and 36,459.02 is: 50,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136.87 : 89,893.22 = 36,459.02 : x
  2. Step 2: Convert to fraction form
    65,136.87/89,893.22 = 36,459.02/x
  3. Step 3: Cross multiply
    65,136.87x = 89,893.22 × 36,459.02
  4. Step 4: Simplify right side
    65,136.87x = 3,277,418,074.08
  5. Step 5: Solve for x
    x = 3,277,418,074.08/65,136.87
  6. Step 6: Final answer
    x = 50,315.87

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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.