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Finding the Fourth Proportional to 31,388.52, 47,082.87 and 7,696.17

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Solution

The fourth proportional to 31,388.52, 47,082.87 and 7,696.17 is: 11,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.52 : 47,082.87 = 7,696.17 : x
  2. Step 2: Convert to fraction form
    31,388.52/47,082.87 = 7,696.17/x
  3. Step 3: Cross multiply
    31,388.52x = 47,082.87 × 7,696.17
  4. Step 4: Simplify right side
    31,388.52x = 362,357,889.32
  5. Step 5: Solve for x
    x = 362,357,889.32/31,388.52
  6. Step 6: Final answer
    x = 11,544.28

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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.