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Finding the Fourth Proportional to 105,508.30, 158,287.62 and 34,431.07

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Solution

The fourth proportional to 105,508.30, 158,287.62 and 34,431.07 is: 51,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,508.30 : 158,287.62 = 34,431.07 : x
  2. Step 2: Convert to fraction form
    105,508.30/158,287.62 = 34,431.07/x
  3. Step 3: Cross multiply
    105,508.30x = 158,287.62 × 34,431.07
  4. Step 4: Simplify right side
    105,508.30x = 5,450,011,857.75
  5. Step 5: Solve for x
    x = 5,450,011,857.75/105,508.30
  6. Step 6: Final answer
    x = 51,654.82

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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.