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Finding the Fourth Proportional to 36,129.42, 49,858.65 and 20,214.18

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Solution

The fourth proportional to 36,129.42, 49,858.65 and 20,214.18 is: 27,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,129.42 : 49,858.65 = 20,214.18 : x
  2. Step 2: Convert to fraction form
    36,129.42/49,858.65 = 20,214.18/x
  3. Step 3: Cross multiply
    36,129.42x = 49,858.65 × 20,214.18
  4. Step 4: Simplify right side
    36,129.42x = 1,007,851,725.66
  5. Step 5: Solve for x
    x = 1,007,851,725.66/36,129.42
  6. Step 6: Final answer
    x = 27,895.60

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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.