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Finding the Fourth Proportional to 48,957, 67,560.66 and 29,085

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Solution

The fourth proportional to 48,957, 67,560.66 and 29,085 is: 40,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,957 : 67,560.66 = 29,085 : x
  2. Step 2: Convert to fraction form
    48,957/67,560.66 = 29,085/x
  3. Step 3: Cross multiply
    48,957x = 67,560.66 × 29,085
  4. Step 4: Simplify right side
    48,957x = 1,965,001,796.10
  5. Step 5: Solve for x
    x = 1,965,001,796.10/48,957
  6. Step 6: Final answer
    x = 40,137.30

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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.