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Finding the Fourth Proportional to 48,635.52, 67,113 and 27,420

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Solution

The fourth proportional to 48,635.52, 67,113 and 27,420 is: 37,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,635.52 : 67,113 = 27,420 : x
  2. Step 2: Convert to fraction form
    48,635.52/67,113 = 27,420/x
  3. Step 3: Cross multiply
    48,635.52x = 67,113 × 27,420
  4. Step 4: Simplify right side
    48,635.52x = 1,840,238,460
  5. Step 5: Solve for x
    x = 1,840,238,460/48,635.52
  6. Step 6: Final answer
    x = 37,837.33

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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.