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Finding the Fourth Proportional to 77,645.26, 116,439.09 and 27,712

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Solution

The fourth proportional to 77,645.26, 116,439.09 and 27,712 is: 41,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,645.26 : 116,439.09 = 27,712 : x
  2. Step 2: Convert to fraction form
    77,645.26/116,439.09 = 27,712/x
  3. Step 3: Cross multiply
    77,645.26x = 116,439.09 × 27,712
  4. Step 4: Simplify right side
    77,645.26x = 3,226,760,062.08
  5. Step 5: Solve for x
    x = 3,226,760,062.08/77,645.26
  6. Step 6: Final answer
    x = 41,557.72

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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.