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Finding the Fourth Proportional to 30,378.72, 45,568.44 and 10,657.80

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Solution

The fourth proportional to 30,378.72, 45,568.44 and 10,657.80 is: 15,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.72 : 45,568.44 = 10,657.80 : x
  2. Step 2: Convert to fraction form
    30,378.72/45,568.44 = 10,657.80/x
  3. Step 3: Cross multiply
    30,378.72x = 45,568.44 × 10,657.80
  4. Step 4: Simplify right side
    30,378.72x = 485,659,319.83
  5. Step 5: Solve for x
    x = 485,659,319.83/30,378.72
  6. Step 6: Final answer
    x = 15,986.83

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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.