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Finding the Fourth Proportional to 75,136.16, 103,683.76 and 41,600

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Solution

The fourth proportional to 75,136.16, 103,683.76 and 41,600 is: 57,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136.16 : 103,683.76 = 41,600 : x
  2. Step 2: Convert to fraction form
    75,136.16/103,683.76 = 41,600/x
  3. Step 3: Cross multiply
    75,136.16x = 103,683.76 × 41,600
  4. Step 4: Simplify right side
    75,136.16x = 4,313,244,416
  5. Step 5: Solve for x
    x = 4,313,244,416/75,136.16
  6. Step 6: Final answer
    x = 57,405.71

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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.