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Finding the Fourth Proportional to 85,714, 128,654.13 and 41,371.99

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Solution

The fourth proportional to 85,714, 128,654.13 and 41,371.99 is: 62,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714 : 128,654.13 = 41,371.99 : x
  2. Step 2: Convert to fraction form
    85,714/128,654.13 = 41,371.99/x
  3. Step 3: Cross multiply
    85,714x = 128,654.13 × 41,371.99
  4. Step 4: Simplify right side
    85,714x = 5,322,677,379.82
  5. Step 5: Solve for x
    x = 5,322,677,379.82/85,714
  6. Step 6: Final answer
    x = 62,098.11

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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.