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Finding the Fourth Proportional to 37,876, 56,803.12 and 11,574.56

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Solution

The fourth proportional to 37,876, 56,803.12 and 11,574.56 is: 17,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,876 : 56,803.12 = 11,574.56 : x
  2. Step 2: Convert to fraction form
    37,876/56,803.12 = 11,574.56/x
  3. Step 3: Cross multiply
    37,876x = 56,803.12 × 11,574.56
  4. Step 4: Simplify right side
    37,876x = 657,471,120.63
  5. Step 5: Solve for x
    x = 657,471,120.63/37,876
  6. Step 6: Final answer
    x = 17,358.52

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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.