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Finding the Fourth Proportional to 57,776.36, 86,642.66 and 22,696.88

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Solution

The fourth proportional to 57,776.36, 86,642.66 and 22,696.88 is: 34,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776.36 : 86,642.66 = 22,696.88 : x
  2. Step 2: Convert to fraction form
    57,776.36/86,642.66 = 22,696.88/x
  3. Step 3: Cross multiply
    57,776.36x = 86,642.66 × 22,696.88
  4. Step 4: Simplify right side
    57,776.36x = 1,966,517,680.43
  5. Step 5: Solve for x
    x = 1,966,517,680.43/57,776.36
  6. Step 6: Final answer
    x = 34,036.72

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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.