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Finding the Fourth Proportional to 52,570.28, 78,805.99 and 25,905.98

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Solution

The fourth proportional to 52,570.28, 78,805.99 and 25,905.98 is: 38,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.28 : 78,805.99 = 25,905.98 : x
  2. Step 2: Convert to fraction form
    52,570.28/78,805.99 = 25,905.98/x
  3. Step 3: Cross multiply
    52,570.28x = 78,805.99 × 25,905.98
  4. Step 4: Simplify right side
    52,570.28x = 2,041,545,942.03
  5. Step 5: Solve for x
    x = 2,041,545,942.03/52,570.28
  6. Step 6: Final answer
    x = 38,834.61

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Why These Related Problems?

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