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Finding the Fourth Proportional to 55,022.68, 75,977.84 and 34,915.24

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Solution

The fourth proportional to 55,022.68, 75,977.84 and 34,915.24 is: 48,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,022.68 : 75,977.84 = 34,915.24 : x
  2. Step 2: Convert to fraction form
    55,022.68/75,977.84 = 34,915.24/x
  3. Step 3: Cross multiply
    55,022.68x = 75,977.84 × 34,915.24
  4. Step 4: Simplify right side
    55,022.68x = 2,652,784,518.28
  5. Step 5: Solve for x
    x = 2,652,784,518.28/55,022.68
  6. Step 6: Final answer
    x = 48,212.56

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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.