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Finding the Fourth Proportional to 35,842.50, 53,416.49 and 33,976.26

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Solution

The fourth proportional to 35,842.50, 53,416.49 and 33,976.26 is: 50,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.50 : 53,416.49 = 33,976.26 : x
  2. Step 2: Convert to fraction form
    35,842.50/53,416.49 = 33,976.26/x
  3. Step 3: Cross multiply
    35,842.50x = 53,416.49 × 33,976.26
  4. Step 4: Simplify right side
    35,842.50x = 1,814,892,552.53
  5. Step 5: Solve for x
    x = 1,814,892,552.53/35,842.50
  6. Step 6: Final answer
    x = 50,635.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.