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Finding the Fourth Proportional to 93,917.36, 140,896.92 and 31,586

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Solution

The fourth proportional to 93,917.36, 140,896.92 and 31,586 is: 47,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,917.36 : 140,896.92 = 31,586 : x
  2. Step 2: Convert to fraction form
    93,917.36/140,896.92 = 31,586/x
  3. Step 3: Cross multiply
    93,917.36x = 140,896.92 × 31,586
  4. Step 4: Simplify right side
    93,917.36x = 4,450,370,115.12
  5. Step 5: Solve for x
    x = 4,450,370,115.12/93,917.36
  6. Step 6: Final answer
    x = 47,386.02

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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.