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Finding the Fourth Proportional to 100,942, 151,366.86 and 37,715.74

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Solution

The fourth proportional to 100,942, 151,366.86 and 37,715.74 is: 56,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,942 : 151,366.86 = 37,715.74 : x
  2. Step 2: Convert to fraction form
    100,942/151,366.86 = 37,715.74/x
  3. Step 3: Cross multiply
    100,942x = 151,366.86 × 37,715.74
  4. Step 4: Simplify right side
    100,942x = 5,708,913,136.38
  5. Step 5: Solve for x
    x = 5,708,913,136.38/100,942
  6. Step 6: Final answer
    x = 56,556.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.