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Finding the Fourth Proportional to 49,491.61, 68,297.58 and 27,980.99

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Solution

The fourth proportional to 49,491.61, 68,297.58 and 27,980.99 is: 38,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491.61 : 68,297.58 = 27,980.99 : x
  2. Step 2: Convert to fraction form
    49,491.61/68,297.58 = 27,980.99/x
  3. Step 3: Cross multiply
    49,491.61x = 68,297.58 × 27,980.99
  4. Step 4: Simplify right side
    49,491.61x = 1,911,034,201.81
  5. Step 5: Solve for x
    x = 1,911,034,201.81/49,491.61
  6. Step 6: Final answer
    x = 38,613.30

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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.