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Finding the Fourth Proportional to 37,710.70, 56,566.05 and 20,214.70

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Solution

The fourth proportional to 37,710.70, 56,566.05 and 20,214.70 is: 30,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.70 : 56,566.05 = 20,214.70 : x
  2. Step 2: Convert to fraction form
    37,710.70/56,566.05 = 20,214.70/x
  3. Step 3: Cross multiply
    37,710.70x = 56,566.05 × 20,214.70
  4. Step 4: Simplify right side
    37,710.70x = 1,143,465,730.94
  5. Step 5: Solve for x
    x = 1,143,465,730.94/37,710.70
  6. Step 6: Final answer
    x = 30,322.05

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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.