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Finding the Fourth Proportional to 37,542, 56,332.44 and 19,074

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Solution

The fourth proportional to 37,542, 56,332.44 and 19,074 is: 28,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542 : 56,332.44 = 19,074 : x
  2. Step 2: Convert to fraction form
    37,542/56,332.44 = 19,074/x
  3. Step 3: Cross multiply
    37,542x = 56,332.44 × 19,074
  4. Step 4: Simplify right side
    37,542x = 1,074,484,960.56
  5. Step 5: Solve for x
    x = 1,074,484,960.56/37,542
  6. Step 6: Final answer
    x = 28,620.88

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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.