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Finding the Fourth Proportional to 165,926.24, 248,926.24 and 47,588.48

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Solution

The fourth proportional to 165,926.24, 248,926.24 and 47,588.48 is: 71,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,926.24 : 248,926.24 = 47,588.48 : x
  2. Step 2: Convert to fraction form
    165,926.24/248,926.24 = 47,588.48/x
  3. Step 3: Cross multiply
    165,926.24x = 248,926.24 × 47,588.48
  4. Step 4: Simplify right side
    165,926.24x = 11,846,021,393.72
  5. Step 5: Solve for x
    x = 11,846,021,393.72/165,926.24
  6. Step 6: Final answer
    x = 71,393.30

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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.