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Finding the Fourth Proportional to 52,121.60, 78,204.54 and 25,826.84

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Solution

The fourth proportional to 52,121.60, 78,204.54 and 25,826.84 is: 38,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,121.60 : 78,204.54 = 25,826.84 : x
  2. Step 2: Convert to fraction form
    52,121.60/78,204.54 = 25,826.84/x
  3. Step 3: Cross multiply
    52,121.60x = 78,204.54 × 25,826.84
  4. Step 4: Simplify right side
    52,121.60x = 2,019,776,141.85
  5. Step 5: Solve for x
    x = 2,019,776,141.85/52,121.60
  6. Step 6: Final answer
    x = 38,751.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.