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Finding the Fourth Proportional to 27,790.56, 41,707.08 and 19,416

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Solution

The fourth proportional to 27,790.56, 41,707.08 and 19,416 is: 29,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.56 : 41,707.08 = 19,416 : x
  2. Step 2: Convert to fraction form
    27,790.56/41,707.08 = 19,416/x
  3. Step 3: Cross multiply
    27,790.56x = 41,707.08 × 19,416
  4. Step 4: Simplify right side
    27,790.56x = 809,784,665.28
  5. Step 5: Solve for x
    x = 809,784,665.28/27,790.56
  6. Step 6: Final answer
    x = 29,138.84

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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.