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Finding the Fourth Proportional to 52,738.64, 72,776.24 and 28,865.76

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Solution

The fourth proportional to 52,738.64, 72,776.24 and 28,865.76 is: 39,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738.64 : 72,776.24 = 28,865.76 : x
  2. Step 2: Convert to fraction form
    52,738.64/72,776.24 = 28,865.76/x
  3. Step 3: Cross multiply
    52,738.64x = 72,776.24 × 28,865.76
  4. Step 4: Simplify right side
    52,738.64x = 2,100,741,477.54
  5. Step 5: Solve for x
    x = 2,100,741,477.54/52,738.64
  6. Step 6: Final answer
    x = 39,833.06

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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.