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Finding the Fourth Proportional to 108,881, 163,321.50 and 35,009

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Solution

The fourth proportional to 108,881, 163,321.50 and 35,009 is: 52,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,881 : 163,321.50 = 35,009 : x
  2. Step 2: Convert to fraction form
    108,881/163,321.50 = 35,009/x
  3. Step 3: Cross multiply
    108,881x = 163,321.50 × 35,009
  4. Step 4: Simplify right side
    108,881x = 5,717,722,393.50
  5. Step 5: Solve for x
    x = 5,717,722,393.50/108,881
  6. Step 6: Final answer
    x = 52,513.50

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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.