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Finding the Fourth Proportional to 36,075.72, 49,783.56 and 20,160.30

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Solution

The fourth proportional to 36,075.72, 49,783.56 and 20,160.30 is: 27,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075.72 : 49,783.56 = 20,160.30 : x
  2. Step 2: Convert to fraction form
    36,075.72/49,783.56 = 20,160.30/x
  3. Step 3: Cross multiply
    36,075.72x = 49,783.56 × 20,160.30
  4. Step 4: Simplify right side
    36,075.72x = 1,003,651,504.67
  5. Step 5: Solve for x
    x = 1,003,651,504.67/36,075.72
  6. Step 6: Final answer
    x = 27,820.69

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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.