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Finding the Fourth Proportional to 38,974.60, 58,462.04 and 10,894.48

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Solution

The fourth proportional to 38,974.60, 58,462.04 and 10,894.48 is: 16,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.60 : 58,462.04 = 10,894.48 : x
  2. Step 2: Convert to fraction form
    38,974.60/58,462.04 = 10,894.48/x
  3. Step 3: Cross multiply
    38,974.60x = 58,462.04 × 10,894.48
  4. Step 4: Simplify right side
    38,974.60x = 636,913,525.54
  5. Step 5: Solve for x
    x = 636,913,525.54/38,974.60
  6. Step 6: Final answer
    x = 16,341.76

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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.