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Finding the Fourth Proportional to 131,058.75, 196,588.22 and 32,562.75

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Solution

The fourth proportional to 131,058.75, 196,588.22 and 32,562.75 is: 48,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058.75 : 196,588.22 = 32,562.75 : x
  2. Step 2: Convert to fraction form
    131,058.75/196,588.22 = 32,562.75/x
  3. Step 3: Cross multiply
    131,058.75x = 196,588.22 × 32,562.75
  4. Step 4: Simplify right side
    131,058.75x = 6,401,453,060.81
  5. Step 5: Solve for x
    x = 6,401,453,060.81/131,058.75
  6. Step 6: Final answer
    x = 48,844.15

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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.