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Finding the Fourth Proportional to 37,572.68, 56,380.86 and 14,200.94

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Solution

The fourth proportional to 37,572.68, 56,380.86 and 14,200.94 is: 21,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,572.68 : 56,380.86 = 14,200.94 : x
  2. Step 2: Convert to fraction form
    37,572.68/56,380.86 = 14,200.94/x
  3. Step 3: Cross multiply
    37,572.68x = 56,380.86 × 14,200.94
  4. Step 4: Simplify right side
    37,572.68x = 800,660,928.10
  5. Step 5: Solve for x
    x = 800,660,928.10/37,572.68
  6. Step 6: Final answer
    x = 21,309.66

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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.