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Finding the Fourth Proportional to 44,644.56, 66,978.09 and 31,522.56

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Solution

The fourth proportional to 44,644.56, 66,978.09 and 31,522.56 is: 47,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,644.56 : 66,978.09 = 31,522.56 : x
  2. Step 2: Convert to fraction form
    44,644.56/66,978.09 = 31,522.56/x
  3. Step 3: Cross multiply
    44,644.56x = 66,978.09 × 31,522.56
  4. Step 4: Simplify right side
    44,644.56x = 2,111,320,860.71
  5. Step 5: Solve for x
    x = 2,111,320,860.71/44,644.56
  6. Step 6: Final answer
    x = 47,291.78

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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.