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Finding the Fourth Proportional to 47,108.72, 64,983 and 29,414

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Solution

The fourth proportional to 47,108.72, 64,983 and 29,414 is: 40,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108.72 : 64,983 = 29,414 : x
  2. Step 2: Convert to fraction form
    47,108.72/64,983 = 29,414/x
  3. Step 3: Cross multiply
    47,108.72x = 64,983 × 29,414
  4. Step 4: Simplify right side
    47,108.72x = 1,911,409,962
  5. Step 5: Solve for x
    x = 1,911,409,962/47,108.72
  6. Step 6: Final answer
    x = 40,574.44

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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.