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Finding the Fourth Proportional to 52,375.06, 78,545.58 and 22,784.14

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Solution

The fourth proportional to 52,375.06, 78,545.58 and 22,784.14 is: 34,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,375.06 : 78,545.58 = 22,784.14 : x
  2. Step 2: Convert to fraction form
    52,375.06/78,545.58 = 22,784.14/x
  3. Step 3: Cross multiply
    52,375.06x = 78,545.58 × 22,784.14
  4. Step 4: Simplify right side
    52,375.06x = 1,789,593,491.10
  5. Step 5: Solve for x
    x = 1,789,593,491.10/52,375.06
  6. Step 6: Final answer
    x = 34,168.81

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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.