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Finding the Fourth Proportional to 38,728.96, 58,101 and 12,431.68

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Solution

The fourth proportional to 38,728.96, 58,101 and 12,431.68 is: 18,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.96 : 58,101 = 12,431.68 : x
  2. Step 2: Convert to fraction form
    38,728.96/58,101 = 12,431.68/x
  3. Step 3: Cross multiply
    38,728.96x = 58,101 × 12,431.68
  4. Step 4: Simplify right side
    38,728.96x = 722,293,039.68
  5. Step 5: Solve for x
    x = 722,293,039.68/38,728.96
  6. Step 6: Final answer
    x = 18,649.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.