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Finding the Fourth Proportional to 103,640.52, 155,464.80 and 32,611.60

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Solution

The fourth proportional to 103,640.52, 155,464.80 and 32,611.60 is: 48,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.52 : 155,464.80 = 32,611.60 : x
  2. Step 2: Convert to fraction form
    103,640.52/155,464.80 = 32,611.60/x
  3. Step 3: Cross multiply
    103,640.52x = 155,464.80 × 32,611.60
  4. Step 4: Simplify right side
    103,640.52x = 5,069,955,871.68
  5. Step 5: Solve for x
    x = 5,069,955,871.68/103,640.52
  6. Step 6: Final answer
    x = 48,918.66

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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.