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Finding the Fourth Proportional to 52,906.21, 72,990.66 and 33,786.70

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Solution

The fourth proportional to 52,906.21, 72,990.66 and 33,786.70 is: 46,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,906.21 : 72,990.66 = 33,786.70 : x
  2. Step 2: Convert to fraction form
    52,906.21/72,990.66 = 33,786.70/x
  3. Step 3: Cross multiply
    52,906.21x = 72,990.66 × 33,786.70
  4. Step 4: Simplify right side
    52,906.21x = 2,466,113,532.22
  5. Step 5: Solve for x
    x = 2,466,113,532.22/52,906.21
  6. Step 6: Final answer
    x = 46,612.93

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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.