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Finding the Fourth Proportional to 52,210, 78,211.32 and 25,834.24

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Solution

The fourth proportional to 52,210, 78,211.32 and 25,834.24 is: 38,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,210 : 78,211.32 = 25,834.24 : x
  2. Step 2: Convert to fraction form
    52,210/78,211.32 = 25,834.24/x
  3. Step 3: Cross multiply
    52,210x = 78,211.32 × 25,834.24
  4. Step 4: Simplify right side
    52,210x = 2,020,530,011.60
  5. Step 5: Solve for x
    x = 2,020,530,011.60/52,210
  6. Step 6: Final answer
    x = 38,700.06

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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.