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Finding the Fourth Proportional to 30,807.28, 42,524.94 and 18,232

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Solution

The fourth proportional to 30,807.28, 42,524.94 and 18,232 is: 25,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.28 : 42,524.94 = 18,232 : x
  2. Step 2: Convert to fraction form
    30,807.28/42,524.94 = 18,232/x
  3. Step 3: Cross multiply
    30,807.28x = 42,524.94 × 18,232
  4. Step 4: Simplify right side
    30,807.28x = 775,314,706.08
  5. Step 5: Solve for x
    x = 775,314,706.08/30,807.28
  6. Step 6: Final answer
    x = 25,166.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.