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Finding the Fourth Proportional to 49,491.98, 68,298.10 and 27,981.37

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Solution

The fourth proportional to 49,491.98, 68,298.10 and 27,981.37 is: 38,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491.98 : 68,298.10 = 27,981.37 : x
  2. Step 2: Convert to fraction form
    49,491.98/68,298.10 = 27,981.37/x
  3. Step 3: Cross multiply
    49,491.98x = 68,298.10 × 27,981.37
  4. Step 4: Simplify right side
    49,491.98x = 1,911,074,421.82
  5. Step 5: Solve for x
    x = 1,911,074,421.82/49,491.98
  6. Step 6: Final answer
    x = 38,613.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.