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Finding the Fourth Proportional to 44,514, 66,782.40 and 31,392

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Solution

The fourth proportional to 44,514, 66,782.40 and 31,392 is: 47,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,514 : 66,782.40 = 31,392 : x
  2. Step 2: Convert to fraction form
    44,514/66,782.40 = 31,392/x
  3. Step 3: Cross multiply
    44,514x = 66,782.40 × 31,392
  4. Step 4: Simplify right side
    44,514x = 2,096,433,100.80
  5. Step 5: Solve for x
    x = 2,096,433,100.80/44,514
  6. Step 6: Final answer
    x = 47,096.04

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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.