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Finding the Fourth Proportional to 27,598.34, 41,403.66 and 10,068.17

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Solution

The fourth proportional to 27,598.34, 41,403.66 and 10,068.17 is: 15,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.34 : 41,403.66 = 10,068.17 : x
  2. Step 2: Convert to fraction form
    27,598.34/41,403.66 = 10,068.17/x
  3. Step 3: Cross multiply
    27,598.34x = 41,403.66 × 10,068.17
  4. Step 4: Simplify right side
    27,598.34x = 416,858,842.73
  5. Step 5: Solve for x
    x = 416,858,842.73/27,598.34
  6. Step 6: Final answer
    x = 15,104.49

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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.