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Finding the Fourth Proportional to 55,261.83, 82,908.92 and 17,821.16

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Solution

The fourth proportional to 55,261.83, 82,908.92 and 17,821.16 is: 26,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261.83 : 82,908.92 = 17,821.16 : x
  2. Step 2: Convert to fraction form
    55,261.83/82,908.92 = 17,821.16/x
  3. Step 3: Cross multiply
    55,261.83x = 82,908.92 × 17,821.16
  4. Step 4: Simplify right side
    55,261.83x = 1,477,532,625.10
  5. Step 5: Solve for x
    x = 1,477,532,625.10/55,261.83
  6. Step 6: Final answer
    x = 26,736.95

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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.