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Finding the Fourth Proportional to 27,409.79, 37,819.10 and 16,078.70

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Solution

The fourth proportional to 27,409.79, 37,819.10 and 16,078.70 is: 22,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.79 : 37,819.10 = 16,078.70 : x
  2. Step 2: Convert to fraction form
    27,409.79/37,819.10 = 16,078.70/x
  3. Step 3: Cross multiply
    27,409.79x = 37,819.10 × 16,078.70
  4. Step 4: Simplify right side
    27,409.79x = 608,081,882.78
  5. Step 5: Solve for x
    x = 608,081,882.78/27,409.79
  6. Step 6: Final answer
    x = 22,184.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.