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Finding the Fourth Proportional to 30,219.75, 45,331.25 and 9,444.87

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Solution

The fourth proportional to 30,219.75, 45,331.25 and 9,444.87 is: 14,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.75 : 45,331.25 = 9,444.87 : x
  2. Step 2: Convert to fraction form
    30,219.75/45,331.25 = 9,444.87/x
  3. Step 3: Cross multiply
    30,219.75x = 45,331.25 × 9,444.87
  4. Step 4: Simplify right side
    30,219.75x = 428,147,715.96
  5. Step 5: Solve for x
    x = 428,147,715.96/30,219.75
  6. Step 6: Final answer
    x = 14,167.81

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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.