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Finding the Fourth Proportional to 36,180, 49,924.32 and 21,075.84

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Solution

The fourth proportional to 36,180, 49,924.32 and 21,075.84 is: 29,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 49,924.32 = 21,075.84 : x
  2. Step 2: Convert to fraction form
    36,180/49,924.32 = 21,075.84/x
  3. Step 3: Cross multiply
    36,180x = 49,924.32 × 21,075.84
  4. Step 4: Simplify right side
    36,180x = 1,052,196,980.43
  5. Step 5: Solve for x
    x = 1,052,196,980.43/36,180
  6. Step 6: Final answer
    x = 29,082.28

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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.