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Finding the Fourth Proportional to 37,710.20, 56,565.30 and 20,214.20

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Solution

The fourth proportional to 37,710.20, 56,565.30 and 20,214.20 is: 30,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.20 : 56,565.30 = 20,214.20 : x
  2. Step 2: Convert to fraction form
    37,710.20/56,565.30 = 20,214.20/x
  3. Step 3: Cross multiply
    37,710.20x = 56,565.30 × 20,214.20
  4. Step 4: Simplify right side
    37,710.20x = 1,143,422,287.26
  5. Step 5: Solve for x
    x = 1,143,422,287.26/37,710.20
  6. Step 6: Final answer
    x = 30,321.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.