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Finding the Fourth Proportional to 36,032.34, 49,718.70 and 20,114.22

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Solution

The fourth proportional to 36,032.34, 49,718.70 and 20,114.22 is: 27,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,032.34 : 49,718.70 = 20,114.22 : x
  2. Step 2: Convert to fraction form
    36,032.34/49,718.70 = 20,114.22/x
  3. Step 3: Cross multiply
    36,032.34x = 49,718.70 × 20,114.22
  4. Step 4: Simplify right side
    36,032.34x = 1,000,052,869.91
  5. Step 5: Solve for x
    x = 1,000,052,869.91/36,032.34
  6. Step 6: Final answer
    x = 27,754.31

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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.