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Finding the Fourth Proportional to 55,648.92, 76,792.25 and 32,990.09

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Solution

The fourth proportional to 55,648.92, 76,792.25 and 32,990.09 is: 45,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.92 : 76,792.25 = 32,990.09 : x
  2. Step 2: Convert to fraction form
    55,648.92/76,792.25 = 32,990.09/x
  3. Step 3: Cross multiply
    55,648.92x = 76,792.25 × 32,990.09
  4. Step 4: Simplify right side
    55,648.92x = 2,533,382,937.32
  5. Step 5: Solve for x
    x = 2,533,382,937.32/55,648.92
  6. Step 6: Final answer
    x = 45,524.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.