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Finding the Fourth Proportional to 95,342.94, 142,994.16 and 36,157.86

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Solution

The fourth proportional to 95,342.94, 142,994.16 and 36,157.86 is: 54,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,342.94 : 142,994.16 = 36,157.86 : x
  2. Step 2: Convert to fraction form
    95,342.94/142,994.16 = 36,157.86/x
  3. Step 3: Cross multiply
    95,342.94x = 142,994.16 × 36,157.86
  4. Step 4: Simplify right side
    95,342.94x = 5,170,362,818.10
  5. Step 5: Solve for x
    x = 5,170,362,818.10/95,342.94
  6. Step 6: Final answer
    x = 54,229.11

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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.