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Finding the Fourth Proportional to 100,892.66, 151,286.43 and 37,660.77

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Solution

The fourth proportional to 100,892.66, 151,286.43 and 37,660.77 is: 56,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,892.66 : 151,286.43 = 37,660.77 : x
  2. Step 2: Convert to fraction form
    100,892.66/151,286.43 = 37,660.77/x
  3. Step 3: Cross multiply
    100,892.66x = 151,286.43 × 37,660.77
  4. Step 4: Simplify right side
    100,892.66x = 5,697,563,444.35
  5. Step 5: Solve for x
    x = 5,697,563,444.35/100,892.66
  6. Step 6: Final answer
    x = 56,471.54

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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.