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Finding the Fourth Proportional to 55,096.02, 76,032.84 and 32,436

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Solution

The fourth proportional to 55,096.02, 76,032.84 and 32,436 is: 44,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096.02 : 76,032.84 = 32,436 : x
  2. Step 2: Convert to fraction form
    55,096.02/76,032.84 = 32,436/x
  3. Step 3: Cross multiply
    55,096.02x = 76,032.84 × 32,436
  4. Step 4: Simplify right side
    55,096.02x = 2,466,201,198.24
  5. Step 5: Solve for x
    x = 2,466,201,198.24/55,096.02
  6. Step 6: Final answer
    x = 44,761.88

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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.