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Finding the Fourth Proportional to 52,238.50, 78,280.91 and 30,869.23

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Solution

The fourth proportional to 52,238.50, 78,280.91 and 30,869.23 is: 46,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,238.50 : 78,280.91 = 30,869.23 : x
  2. Step 2: Convert to fraction form
    52,238.50/78,280.91 = 30,869.23/x
  3. Step 3: Cross multiply
    52,238.50x = 78,280.91 × 30,869.23
  4. Step 4: Simplify right side
    52,238.50x = 2,416,471,415.40
  5. Step 5: Solve for x
    x = 2,416,471,415.40/52,238.50
  6. Step 6: Final answer
    x = 46,258.44

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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.