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Finding the Fourth Proportional to 76,616, 114,962.88 and 35,073.44

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Solution

The fourth proportional to 76,616, 114,962.88 and 35,073.44 is: 52,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616 : 114,962.88 = 35,073.44 : x
  2. Step 2: Convert to fraction form
    76,616/114,962.88 = 35,073.44/x
  3. Step 3: Cross multiply
    76,616x = 114,962.88 × 35,073.44
  4. Step 4: Simplify right side
    76,616x = 4,032,143,673.91
  5. Step 5: Solve for x
    x = 4,032,143,673.91/76,616
  6. Step 6: Final answer
    x = 52,627.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.