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Finding the Fourth Proportional to 90,407.50, 135,611.26 and 35,003.50

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Solution

The fourth proportional to 90,407.50, 135,611.26 and 35,003.50 is: 52,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,407.50 : 135,611.26 = 35,003.50 : x
  2. Step 2: Convert to fraction form
    90,407.50/135,611.26 = 35,003.50/x
  3. Step 3: Cross multiply
    90,407.50x = 135,611.26 × 35,003.50
  4. Step 4: Simplify right side
    90,407.50x = 4,746,868,739.41
  5. Step 5: Solve for x
    x = 4,746,868,739.41/90,407.50
  6. Step 6: Final answer
    x = 52,505.25

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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.