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Finding the Fourth Proportional to 37,682.72, 52,002 and 20,688.08

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Solution

The fourth proportional to 37,682.72, 52,002 and 20,688.08 is: 28,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.72 : 52,002 = 20,688.08 : x
  2. Step 2: Convert to fraction form
    37,682.72/52,002 = 20,688.08/x
  3. Step 3: Cross multiply
    37,682.72x = 52,002 × 20,688.08
  4. Step 4: Simplify right side
    37,682.72x = 1,075,821,536.16
  5. Step 5: Solve for x
    x = 1,075,821,536.16/37,682.72
  6. Step 6: Final answer
    x = 28,549.47

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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.