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Finding the Fourth Proportional to 36,047.74, 49,746.63 and 20,132.21

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Solution

The fourth proportional to 36,047.74, 49,746.63 and 20,132.21 is: 27,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047.74 : 49,746.63 = 20,132.21 : x
  2. Step 2: Convert to fraction form
    36,047.74/49,746.63 = 20,132.21/x
  3. Step 3: Cross multiply
    36,047.74x = 49,746.63 × 20,132.21
  4. Step 4: Simplify right side
    36,047.74x = 1,001,509,601.95
  5. Step 5: Solve for x
    x = 1,001,509,601.95/36,047.74
  6. Step 6: Final answer
    x = 27,782.87

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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.