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Finding the Fourth Proportional to 36,015.29, 49,702.34 and 20,102.70

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Solution

The fourth proportional to 36,015.29, 49,702.34 and 20,102.70 is: 27,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015.29 : 49,702.34 = 20,102.70 : x
  2. Step 2: Convert to fraction form
    36,015.29/49,702.34 = 20,102.70/x
  3. Step 3: Cross multiply
    36,015.29x = 49,702.34 × 20,102.70
  4. Step 4: Simplify right side
    36,015.29x = 999,151,230.32
  5. Step 5: Solve for x
    x = 999,151,230.32/36,015.29
  6. Step 6: Final answer
    x = 27,742.42

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