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Finding the Fourth Proportional to 33,058, 49,587 and 31,396.96

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Solution

The fourth proportional to 33,058, 49,587 and 31,396.96 is: 47,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058 : 49,587 = 31,396.96 : x
  2. Step 2: Convert to fraction form
    33,058/49,587 = 31,396.96/x
  3. Step 3: Cross multiply
    33,058x = 49,587 × 31,396.96
  4. Step 4: Simplify right side
    33,058x = 1,556,881,055.52
  5. Step 5: Solve for x
    x = 1,556,881,055.52/33,058
  6. Step 6: Final answer
    x = 47,095.44

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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.