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Finding the Fourth Proportional to 38,219.60, 52,745.88 and 23,112.84

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Solution

The fourth proportional to 38,219.60, 52,745.88 and 23,112.84 is: 31,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,219.60 : 52,745.88 = 23,112.84 : x
  2. Step 2: Convert to fraction form
    38,219.60/52,745.88 = 23,112.84/x
  3. Step 3: Cross multiply
    38,219.60x = 52,745.88 × 23,112.84
  4. Step 4: Simplify right side
    38,219.60x = 1,219,107,085.10
  5. Step 5: Solve for x
    x = 1,219,107,085.10/38,219.60
  6. Step 6: Final answer
    x = 31,897.43

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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.