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Finding the Fourth Proportional to 45,859.20, 68,796 and 19,564

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Solution

The fourth proportional to 45,859.20, 68,796 and 19,564 is: 29,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,859.20 : 68,796 = 19,564 : x
  2. Step 2: Convert to fraction form
    45,859.20/68,796 = 19,564/x
  3. Step 3: Cross multiply
    45,859.20x = 68,796 × 19,564
  4. Step 4: Simplify right side
    45,859.20x = 1,345,924,944
  5. Step 5: Solve for x
    x = 1,345,924,944/45,859.20
  6. Step 6: Final answer
    x = 29,349.07

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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.