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Finding the Fourth Proportional to 52,210.45, 78,251.55 and 20,588.77

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Solution

The fourth proportional to 52,210.45, 78,251.55 and 20,588.77 is: 30,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,210.45 : 78,251.55 = 20,588.77 : x
  2. Step 2: Convert to fraction form
    52,210.45/78,251.55 = 20,588.77/x
  3. Step 3: Cross multiply
    52,210.45x = 78,251.55 × 20,588.77
  4. Step 4: Simplify right side
    52,210.45x = 1,611,103,165.09
  5. Step 5: Solve for x
    x = 1,611,103,165.09/52,210.45
  6. Step 6: Final answer
    x = 30,857.87

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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.