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Finding the Fourth Proportional to 52,228.98, 78,289.84 and 20,626.23

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Solution

The fourth proportional to 52,228.98, 78,289.84 and 20,626.23 is: 30,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,228.98 : 78,289.84 = 20,626.23 : x
  2. Step 2: Convert to fraction form
    52,228.98/78,289.84 = 20,626.23/x
  3. Step 3: Cross multiply
    52,228.98x = 78,289.84 × 20,626.23
  4. Step 4: Simplify right side
    52,228.98x = 1,614,824,246.50
  5. Step 5: Solve for x
    x = 1,614,824,246.50/52,228.98
  6. Step 6: Final answer
    x = 30,918.17

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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.