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Finding the Fourth Proportional to 55,658.88, 76,835.52 and 34,452

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Solution

The fourth proportional to 55,658.88, 76,835.52 and 34,452 is: 47,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,658.88 : 76,835.52 = 34,452 : x
  2. Step 2: Convert to fraction form
    55,658.88/76,835.52 = 34,452/x
  3. Step 3: Cross multiply
    55,658.88x = 76,835.52 × 34,452
  4. Step 4: Simplify right side
    55,658.88x = 2,647,137,335.04
  5. Step 5: Solve for x
    x = 2,647,137,335.04/55,658.88
  6. Step 6: Final answer
    x = 47,560.02

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Why These Related Problems?

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