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Finding the Fourth Proportional to 102,550.32, 153,894.12 and 35,990.76

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Solution

The fourth proportional to 102,550.32, 153,894.12 and 35,990.76 is: 54,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550.32 : 153,894.12 = 35,990.76 : x
  2. Step 2: Convert to fraction form
    102,550.32/153,894.12 = 35,990.76/x
  3. Step 3: Cross multiply
    102,550.32x = 153,894.12 × 35,990.76
  4. Step 4: Simplify right side
    102,550.32x = 5,538,766,338.33
  5. Step 5: Solve for x
    x = 5,538,766,338.33/102,550.32
  6. Step 6: Final answer
    x = 54,010.23

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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.