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Finding the Fourth Proportional to 47,575.44, 71,363.16 and 19,854

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Solution

The fourth proportional to 47,575.44, 71,363.16 and 19,854 is: 29,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,575.44 : 71,363.16 = 19,854 : x
  2. Step 2: Convert to fraction form
    47,575.44/71,363.16 = 19,854/x
  3. Step 3: Cross multiply
    47,575.44x = 71,363.16 × 19,854
  4. Step 4: Simplify right side
    47,575.44x = 1,416,844,178.64
  5. Step 5: Solve for x
    x = 1,416,844,178.64/47,575.44
  6. Step 6: Final answer
    x = 29,781

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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.