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Finding the Fourth Proportional to 65,562.50, 98,344.11 and 16,314.50

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Solution

The fourth proportional to 65,562.50, 98,344.11 and 16,314.50 is: 24,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,562.50 : 98,344.11 = 16,314.50 : x
  2. Step 2: Convert to fraction form
    65,562.50/98,344.11 = 16,314.50/x
  3. Step 3: Cross multiply
    65,562.50x = 98,344.11 × 16,314.50
  4. Step 4: Simplify right side
    65,562.50x = 1,604,434,982.60
  5. Step 5: Solve for x
    x = 1,604,434,982.60/65,562.50
  6. Step 6: Final answer
    x = 24,471.84

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Why These Related Problems?

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