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Finding the Fourth Proportional to 98,493.36, 147,761.63 and 31,940.22

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Solution

The fourth proportional to 98,493.36, 147,761.63 and 31,940.22 is: 47,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,493.36 : 147,761.63 = 31,940.22 : x
  2. Step 2: Convert to fraction form
    98,493.36/147,761.63 = 31,940.22/x
  3. Step 3: Cross multiply
    98,493.36x = 147,761.63 × 31,940.22
  4. Step 4: Simplify right side
    98,493.36x = 4,719,538,230.95
  5. Step 5: Solve for x
    x = 4,719,538,230.95/98,493.36
  6. Step 6: Final answer
    x = 47,917.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.