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Finding the Fourth Proportional to 48,123.21, 72,114.35 and 27,104.22

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Solution

The fourth proportional to 48,123.21, 72,114.35 and 27,104.22 is: 40,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,123.21 : 72,114.35 = 27,104.22 : x
  2. Step 2: Convert to fraction form
    48,123.21/72,114.35 = 27,104.22/x
  3. Step 3: Cross multiply
    48,123.21x = 72,114.35 × 27,104.22
  4. Step 4: Simplify right side
    48,123.21x = 1,954,603,224.50
  5. Step 5: Solve for x
    x = 1,954,603,224.50/48,123.21
  6. Step 6: Final answer
    x = 40,616.64

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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.