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Finding the Fourth Proportional to 37,562.71, 51,837.14 and 20,566.68

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Solution

The fourth proportional to 37,562.71, 51,837.14 and 20,566.68 is: 28,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,562.71 : 51,837.14 = 20,566.68 : x
  2. Step 2: Convert to fraction form
    37,562.71/51,837.14 = 20,566.68/x
  3. Step 3: Cross multiply
    37,562.71x = 51,837.14 × 20,566.68
  4. Step 4: Simplify right side
    37,562.71x = 1,066,118,107.05
  5. Step 5: Solve for x
    x = 1,066,118,107.05/37,562.71
  6. Step 6: Final answer
    x = 28,382.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.