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Finding the Fourth Proportional to 37,678.52, 51,995.34 and 20,682.74

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Solution

The fourth proportional to 37,678.52, 51,995.34 and 20,682.74 is: 28,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678.52 : 51,995.34 = 20,682.74 : x
  2. Step 2: Convert to fraction form
    37,678.52/51,995.34 = 20,682.74/x
  3. Step 3: Cross multiply
    37,678.52x = 51,995.34 × 20,682.74
  4. Step 4: Simplify right side
    37,678.52x = 1,075,406,098.43
  5. Step 5: Solve for x
    x = 1,075,406,098.43/37,678.52
  6. Step 6: Final answer
    x = 28,541.62

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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.