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Finding the Fourth Proportional to 106,349.00, 159,511.14 and 27,457.02

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Solution

The fourth proportional to 106,349.00, 159,511.14 and 27,457.02 is: 41,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,349.00 : 159,511.14 = 27,457.02 : x
  2. Step 2: Convert to fraction form
    106,349.00/159,511.14 = 27,457.02/x
  3. Step 3: Cross multiply
    106,349.00x = 159,511.14 × 27,457.02
  4. Step 4: Simplify right side
    106,349.00x = 4,379,700,561.20
  5. Step 5: Solve for x
    x = 4,379,700,561.20/106,349.00
  6. Step 6: Final answer
    x = 41,182.34

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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.