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Finding the Fourth Proportional to 32,242.83, 48,361.98 and 8,549.85

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Solution

The fourth proportional to 32,242.83, 48,361.98 and 8,549.85 is: 12,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.83 : 48,361.98 = 8,549.85 : x
  2. Step 2: Convert to fraction form
    32,242.83/48,361.98 = 8,549.85/x
  3. Step 3: Cross multiply
    32,242.83x = 48,361.98 × 8,549.85
  4. Step 4: Simplify right side
    32,242.83x = 413,487,674.70
  5. Step 5: Solve for x
    x = 413,487,674.70/32,242.83
  6. Step 6: Final answer
    x = 12,824.17

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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.