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Finding the Fourth Proportional to 30,909.56, 46,363.10 and 21,522.46

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Solution

The fourth proportional to 30,909.56, 46,363.10 and 21,522.46 is: 32,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.56 : 46,363.10 = 21,522.46 : x
  2. Step 2: Convert to fraction form
    30,909.56/46,363.10 = 21,522.46/x
  3. Step 3: Cross multiply
    30,909.56x = 46,363.10 × 21,522.46
  4. Step 4: Simplify right side
    30,909.56x = 997,847,965.23
  5. Step 5: Solve for x
    x = 997,847,965.23/30,909.56
  6. Step 6: Final answer
    x = 32,282.83

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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.