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Finding the Fourth Proportional to 47,404.68, 71,143.74 and 17,849.40

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Solution

The fourth proportional to 47,404.68, 71,143.74 and 17,849.40 is: 26,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.68 : 71,143.74 = 17,849.40 : x
  2. Step 2: Convert to fraction form
    47,404.68/71,143.74 = 17,849.40/x
  3. Step 3: Cross multiply
    47,404.68x = 71,143.74 × 17,849.40
  4. Step 4: Simplify right side
    47,404.68x = 1,269,873,072.76
  5. Step 5: Solve for x
    x = 1,269,873,072.76/47,404.68
  6. Step 6: Final answer
    x = 26,787.93

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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.