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Finding the Fourth Proportional to 87,297, 120,471.14 and 47,553

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Solution

The fourth proportional to 87,297, 120,471.14 and 47,553 is: 65,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297 : 120,471.14 = 47,553 : x
  2. Step 2: Convert to fraction form
    87,297/120,471.14 = 47,553/x
  3. Step 3: Cross multiply
    87,297x = 120,471.14 × 47,553
  4. Step 4: Simplify right side
    87,297x = 5,728,764,120.42
  5. Step 5: Solve for x
    x = 5,728,764,120.42/87,297
  6. Step 6: Final answer
    x = 65,623.84

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Why These Related Problems?

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