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Finding the Fourth Proportional to 49,437.92, 68,224 and 28,216

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Solution

The fourth proportional to 49,437.92, 68,224 and 28,216 is: 38,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437.92 : 68,224 = 28,216 : x
  2. Step 2: Convert to fraction form
    49,437.92/68,224 = 28,216/x
  3. Step 3: Cross multiply
    49,437.92x = 68,224 × 28,216
  4. Step 4: Simplify right side
    49,437.92x = 1,925,008,384
  5. Step 5: Solve for x
    x = 1,925,008,384/49,437.92
  6. Step 6: Final answer
    x = 38,937.89

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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.