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Finding the Fourth Proportional to 36,000.96, 49,681.35 and 20,085.41

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Solution

The fourth proportional to 36,000.96, 49,681.35 and 20,085.41 is: 27,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.96 : 49,681.35 = 20,085.41 : x
  2. Step 2: Convert to fraction form
    36,000.96/49,681.35 = 20,085.41/x
  3. Step 3: Cross multiply
    36,000.96x = 49,681.35 × 20,085.41
  4. Step 4: Simplify right side
    36,000.96x = 997,870,284.10
  5. Step 5: Solve for x
    x = 997,870,284.10/36,000.96
  6. Step 6: Final answer
    x = 27,717.88

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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.