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Finding the Fourth Proportional to 165,647.70, 248,473.71 and 47,322.90

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Solution

The fourth proportional to 165,647.70, 248,473.71 and 47,322.90 is: 70,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,647.70 : 248,473.71 = 47,322.90 : x
  2. Step 2: Convert to fraction form
    165,647.70/248,473.71 = 47,322.90/x
  3. Step 3: Cross multiply
    165,647.70x = 248,473.71 × 47,322.90
  4. Step 4: Simplify right side
    165,647.70x = 11,758,496,530.96
  5. Step 5: Solve for x
    x = 11,758,496,530.96/165,647.70
  6. Step 6: Final answer
    x = 70,984.97

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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.