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Finding the Fourth Proportional to 52,069.50, 78,107.90 and 20,904.75

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Solution

The fourth proportional to 52,069.50, 78,107.90 and 20,904.75 is: 31,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.50 : 78,107.90 = 20,904.75 : x
  2. Step 2: Convert to fraction form
    52,069.50/78,107.90 = 20,904.75/x
  3. Step 3: Cross multiply
    52,069.50x = 78,107.90 × 20,904.75
  4. Step 4: Simplify right side
    52,069.50x = 1,632,826,018.00
  5. Step 5: Solve for x
    x = 1,632,826,018.00/52,069.50
  6. Step 6: Final answer
    x = 31,358.59

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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.