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Finding the Fourth Proportional to 75,266.70, 112,861.17 and 37,786.38

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Solution

The fourth proportional to 75,266.70, 112,861.17 and 37,786.38 is: 56,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,266.70 : 112,861.17 = 37,786.38 : x
  2. Step 2: Convert to fraction form
    75,266.70/112,861.17 = 37,786.38/x
  3. Step 3: Cross multiply
    75,266.70x = 112,861.17 × 37,786.38
  4. Step 4: Simplify right side
    75,266.70x = 4,264,615,056.86
  5. Step 5: Solve for x
    x = 4,264,615,056.86/75,266.70
  6. Step 6: Final answer
    x = 56,660.05

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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.