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Finding the Fourth Proportional to 55,682.75, 83,412.86 and 33,483.93

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Solution

The fourth proportional to 55,682.75, 83,412.86 and 33,483.93 is: 50,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682.75 : 83,412.86 = 33,483.93 : x
  2. Step 2: Convert to fraction form
    55,682.75/83,412.86 = 33,483.93/x
  3. Step 3: Cross multiply
    55,682.75x = 83,412.86 × 33,483.93
  4. Step 4: Simplify right side
    55,682.75x = 2,792,990,197.92
  5. Step 5: Solve for x
    x = 2,792,990,197.92/55,682.75
  6. Step 6: Final answer
    x = 50,158.99

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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.