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Finding the Fourth Proportional to 27,706.11, 38,208.47 and 22,059.50

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Solution

The fourth proportional to 27,706.11, 38,208.47 and 22,059.50 is: 30,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.11 : 38,208.47 = 22,059.50 : x
  2. Step 2: Convert to fraction form
    27,706.11/38,208.47 = 22,059.50/x
  3. Step 3: Cross multiply
    27,706.11x = 38,208.47 × 22,059.50
  4. Step 4: Simplify right side
    27,706.11x = 842,859,442.63
  5. Step 5: Solve for x
    x = 842,859,442.63/27,706.11
  6. Step 6: Final answer
    x = 30,421.43

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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.