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Finding the Fourth Proportional to 72,193.34, 108,308.45 and 27,808.17

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Solution

The fourth proportional to 72,193.34, 108,308.45 and 27,808.17 is: 41,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,193.34 : 108,308.45 = 27,808.17 : x
  2. Step 2: Convert to fraction form
    72,193.34/108,308.45 = 27,808.17/x
  3. Step 3: Cross multiply
    72,193.34x = 108,308.45 × 27,808.17
  4. Step 4: Simplify right side
    72,193.34x = 3,011,859,651.00
  5. Step 5: Solve for x
    x = 3,011,859,651.00/72,193.34
  6. Step 6: Final answer
    x = 41,719.36

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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.