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Finding the Fourth Proportional to 95,168.77, 142,756.65 and 31,991.05

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Solution

The fourth proportional to 95,168.77, 142,756.65 and 31,991.05 is: 47,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,168.77 : 142,756.65 = 31,991.05 : x
  2. Step 2: Convert to fraction form
    95,168.77/142,756.65 = 31,991.05/x
  3. Step 3: Cross multiply
    95,168.77x = 142,756.65 × 31,991.05
  4. Step 4: Simplify right side
    95,168.77x = 4,566,935,127.98
  5. Step 5: Solve for x
    x = 4,566,935,127.98/95,168.77
  6. Step 6: Final answer
    x = 47,987.75

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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.