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Finding the Fourth Proportional to 30,657.50, 45,961.21 and 15,870.68

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Solution

The fourth proportional to 30,657.50, 45,961.21 and 15,870.68 is: 23,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.50 : 45,961.21 = 15,870.68 : x
  2. Step 2: Convert to fraction form
    30,657.50/45,961.21 = 15,870.68/x
  3. Step 3: Cross multiply
    30,657.50x = 45,961.21 × 15,870.68
  4. Step 4: Simplify right side
    30,657.50x = 729,435,576.97
  5. Step 5: Solve for x
    x = 729,435,576.97/30,657.50
  6. Step 6: Final answer
    x = 23,793.05

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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.