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Finding the Fourth Proportional to 48,292, 66,643.20 and 28,162.84

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Solution

The fourth proportional to 48,292, 66,643.20 and 28,162.84 is: 38,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,292 : 66,643.20 = 28,162.84 : x
  2. Step 2: Convert to fraction form
    48,292/66,643.20 = 28,162.84/x
  3. Step 3: Cross multiply
    48,292x = 66,643.20 × 28,162.84
  4. Step 4: Simplify right side
    48,292x = 1,876,861,778.69
  5. Step 5: Solve for x
    x = 1,876,861,778.69/48,292
  6. Step 6: Final answer
    x = 38,864.86

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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.