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Finding the Fourth Proportional to 54,803.91, 82,206 and 13,250.91

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Solution

The fourth proportional to 54,803.91, 82,206 and 13,250.91 is: 19,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,803.91 : 82,206 = 13,250.91 : x
  2. Step 2: Convert to fraction form
    54,803.91/82,206 = 13,250.91/x
  3. Step 3: Cross multiply
    54,803.91x = 82,206 × 13,250.91
  4. Step 4: Simplify right side
    54,803.91x = 1,089,304,307.46
  5. Step 5: Solve for x
    x = 1,089,304,307.46/54,803.91
  6. Step 6: Final answer
    x = 19,876.40

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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.