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Finding the Fourth Proportional to 51,600, 71,223.20 and 33,697.76

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Solution

The fourth proportional to 51,600, 71,223.20 and 33,697.76 is: 46,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600 : 71,223.20 = 33,697.76 : x
  2. Step 2: Convert to fraction form
    51,600/71,223.20 = 33,697.76/x
  3. Step 3: Cross multiply
    51,600x = 71,223.20 × 33,697.76
  4. Step 4: Simplify right side
    51,600x = 2,400,062,300.03
  5. Step 5: Solve for x
    x = 2,400,062,300.03/51,600
  6. Step 6: Final answer
    x = 46,512.84

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