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Finding the Fourth Proportional to 40,491.68, 55,878.49 and 22,586.68

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Solution

The fourth proportional to 40,491.68, 55,878.49 and 22,586.68 is: 31,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,491.68 : 55,878.49 = 22,586.68 : x
  2. Step 2: Convert to fraction form
    40,491.68/55,878.49 = 22,586.68/x
  3. Step 3: Cross multiply
    40,491.68x = 55,878.49 × 22,586.68
  4. Step 4: Simplify right side
    40,491.68x = 1,262,109,670.59
  5. Step 5: Solve for x
    x = 1,262,109,670.59/40,491.68
  6. Step 6: Final answer
    x = 31,169.60

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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.