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Finding the Fourth Proportional to 75,136.68, 103,722.12 and 49,658.40

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Solution

The fourth proportional to 75,136.68, 103,722.12 and 49,658.40 is: 68,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136.68 : 103,722.12 = 49,658.40 : x
  2. Step 2: Convert to fraction form
    75,136.68/103,722.12 = 49,658.40/x
  3. Step 3: Cross multiply
    75,136.68x = 103,722.12 × 49,658.40
  4. Step 4: Simplify right side
    75,136.68x = 5,150,674,523.81
  5. Step 5: Solve for x
    x = 5,150,674,523.81/75,136.68
  6. Step 6: Final answer
    x = 68,550.73

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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.