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Finding the Fourth Proportional to 90,433, 135,649.50 and 35,029

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Solution

The fourth proportional to 90,433, 135,649.50 and 35,029 is: 52,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433 : 135,649.50 = 35,029 : x
  2. Step 2: Convert to fraction form
    90,433/135,649.50 = 35,029/x
  3. Step 3: Cross multiply
    90,433x = 135,649.50 × 35,029
  4. Step 4: Simplify right side
    90,433x = 4,751,666,335.50
  5. Step 5: Solve for x
    x = 4,751,666,335.50/90,433
  6. Step 6: Final answer
    x = 52,543.50

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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.