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Finding the Fourth Proportional to 48,903.21, 67,491.90 and 27,683.91

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Solution

The fourth proportional to 48,903.21, 67,491.90 and 27,683.91 is: 38,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,903.21 : 67,491.90 = 27,683.91 : x
  2. Step 2: Convert to fraction form
    48,903.21/67,491.90 = 27,683.91/x
  3. Step 3: Cross multiply
    48,903.21x = 67,491.90 × 27,683.91
  4. Step 4: Simplify right side
    48,903.21x = 1,868,439,685.33
  5. Step 5: Solve for x
    x = 1,868,439,685.33/48,903.21
  6. Step 6: Final answer
    x = 38,206.89

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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.