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Finding the Fourth Proportional to 95,034.91, 142,529.91 and 31,857.34

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Solution

The fourth proportional to 95,034.91, 142,529.91 and 31,857.34 is: 47,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,034.91 : 142,529.91 = 31,857.34 : x
  2. Step 2: Convert to fraction form
    95,034.91/142,529.91 = 31,857.34/x
  3. Step 3: Cross multiply
    95,034.91x = 142,529.91 × 31,857.34
  4. Step 4: Simplify right side
    95,034.91x = 4,540,623,803.04
  5. Step 5: Solve for x
    x = 4,540,623,803.04/95,034.91
  6. Step 6: Final answer
    x = 47,778.48

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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.