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Finding the Fourth Proportional to 48,974.78, 67,577.71 and 27,465.64

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Solution

The fourth proportional to 48,974.78, 67,577.71 and 27,465.64 is: 37,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974.78 : 67,577.71 = 27,465.64 : x
  2. Step 2: Convert to fraction form
    48,974.78/67,577.71 = 27,465.64/x
  3. Step 3: Cross multiply
    48,974.78x = 67,577.71 × 27,465.64
  4. Step 4: Simplify right side
    48,974.78x = 1,856,064,868.77
  5. Step 5: Solve for x
    x = 1,856,064,868.77/48,974.78
  6. Step 6: Final answer
    x = 37,898.38

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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.