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Finding the Fourth Proportional to 36,038.48, 49,732.91 and 20,122.92

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Solution

The fourth proportional to 36,038.48, 49,732.91 and 20,122.92 is: 27,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.48 : 49,732.91 = 20,122.92 : x
  2. Step 2: Convert to fraction form
    36,038.48/49,732.91 = 20,122.92/x
  3. Step 3: Cross multiply
    36,038.48x = 49,732.91 × 20,122.92
  4. Step 4: Simplify right side
    36,038.48x = 1,000,771,268.68
  5. Step 5: Solve for x
    x = 1,000,771,268.68/36,038.48
  6. Step 6: Final answer
    x = 27,769.52

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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.