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Finding the Fourth Proportional to 35,400, 53,096.32 and 22,213.28

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Solution

The fourth proportional to 35,400, 53,096.32 and 22,213.28 is: 33,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,400 : 53,096.32 = 22,213.28 : x
  2. Step 2: Convert to fraction form
    35,400/53,096.32 = 22,213.28/x
  3. Step 3: Cross multiply
    35,400x = 53,096.32 × 22,213.28
  4. Step 4: Simplify right side
    35,400x = 1,179,443,423.13
  5. Step 5: Solve for x
    x = 1,179,443,423.13/35,400
  6. Step 6: Final answer
    x = 33,317.61

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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.