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Finding the Fourth Proportional to 69,871.64, 104,817.96 and 32,435.58

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Solution

The fourth proportional to 69,871.64, 104,817.96 and 32,435.58 is: 48,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,871.64 : 104,817.96 = 32,435.58 : x
  2. Step 2: Convert to fraction form
    69,871.64/104,817.96 = 32,435.58/x
  3. Step 3: Cross multiply
    69,871.64x = 104,817.96 × 32,435.58
  4. Step 4: Simplify right side
    69,871.64x = 3,399,831,327.02
  5. Step 5: Solve for x
    x = 3,399,831,327.02/69,871.64
  6. Step 6: Final answer
    x = 48,658.24

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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.