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Finding the Fourth Proportional to 77,071.72, 115,616.84 and 27,141.50

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Solution

The fourth proportional to 77,071.72, 115,616.84 and 27,141.50 is: 40,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071.72 : 115,616.84 = 27,141.50 : x
  2. Step 2: Convert to fraction form
    77,071.72/115,616.84 = 27,141.50/x
  3. Step 3: Cross multiply
    77,071.72x = 115,616.84 × 27,141.50
  4. Step 4: Simplify right side
    77,071.72x = 3,138,013,884.78
  5. Step 5: Solve for x
    x = 3,138,013,884.78/77,071.72
  6. Step 6: Final answer
    x = 40,715.50

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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.