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Finding the Fourth Proportional to 112,714.26, 169,097.31 and 33,829.98

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Solution

The fourth proportional to 112,714.26, 169,097.31 and 33,829.98 is: 50,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,714.26 : 169,097.31 = 33,829.98 : x
  2. Step 2: Convert to fraction form
    112,714.26/169,097.31 = 33,829.98/x
  3. Step 3: Cross multiply
    112,714.26x = 169,097.31 × 33,829.98
  4. Step 4: Simplify right side
    112,714.26x = 5,720,558,615.35
  5. Step 5: Solve for x
    x = 5,720,558,615.35/112,714.26
  6. Step 6: Final answer
    x = 50,752.75

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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.