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Finding the Fourth Proportional to 64,137.36, 88,524.72 and 38,982

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Solution

The fourth proportional to 64,137.36, 88,524.72 and 38,982 is: 53,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,137.36 : 88,524.72 = 38,982 : x
  2. Step 2: Convert to fraction form
    64,137.36/88,524.72 = 38,982/x
  3. Step 3: Cross multiply
    64,137.36x = 88,524.72 × 38,982
  4. Step 4: Simplify right side
    64,137.36x = 3,450,870,635.04
  5. Step 5: Solve for x
    x = 3,450,870,635.04/64,137.36
  6. Step 6: Final answer
    x = 53,804.38

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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.