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Finding the Fourth Proportional to 48,754.92, 67,288.48 and 28,058

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Solution

The fourth proportional to 48,754.92, 67,288.48 and 28,058 is: 38,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754.92 : 67,288.48 = 28,058 : x
  2. Step 2: Convert to fraction form
    48,754.92/67,288.48 = 28,058/x
  3. Step 3: Cross multiply
    48,754.92x = 67,288.48 × 28,058
  4. Step 4: Simplify right side
    48,754.92x = 1,887,980,171.84
  5. Step 5: Solve for x
    x = 1,887,980,171.84/48,754.92
  6. Step 6: Final answer
    x = 38,723.89

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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.