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Finding the Fourth Proportional to 105,714.96, 158,572.44 and 31,842.96

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Solution

The fourth proportional to 105,714.96, 158,572.44 and 31,842.96 is: 47,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714.96 : 158,572.44 = 31,842.96 : x
  2. Step 2: Convert to fraction form
    105,714.96/158,572.44 = 31,842.96/x
  3. Step 3: Cross multiply
    105,714.96x = 158,572.44 × 31,842.96
  4. Step 4: Simplify right side
    105,714.96x = 5,049,415,864.02
  5. Step 5: Solve for x
    x = 5,049,415,864.02/105,714.96
  6. Step 6: Final answer
    x = 47,764.44

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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.