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Finding the Fourth Proportional to 110,249.58, 165,374.82 and 31,364.50

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Solution

The fourth proportional to 110,249.58, 165,374.82 and 31,364.50 is: 47,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,249.58 : 165,374.82 = 31,364.50 : x
  2. Step 2: Convert to fraction form
    110,249.58/165,374.82 = 31,364.50/x
  3. Step 3: Cross multiply
    110,249.58x = 165,374.82 × 31,364.50
  4. Step 4: Simplify right side
    110,249.58x = 5,186,898,541.89
  5. Step 5: Solve for x
    x = 5,186,898,541.89/110,249.58
  6. Step 6: Final answer
    x = 47,046.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.