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Finding the Fourth Proportional to 82,247.52, 113,382.72 and 53,904

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Solution

The fourth proportional to 82,247.52, 113,382.72 and 53,904 is: 74,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,247.52 : 113,382.72 = 53,904 : x
  2. Step 2: Convert to fraction form
    82,247.52/113,382.72 = 53,904/x
  3. Step 3: Cross multiply
    82,247.52x = 113,382.72 × 53,904
  4. Step 4: Simplify right side
    82,247.52x = 6,111,782,138.88
  5. Step 5: Solve for x
    x = 6,111,782,138.88/82,247.52
  6. Step 6: Final answer
    x = 74,309.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.