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Finding the Fourth Proportional to 52,022, 78,019.94 and 14,572.38

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Solution

The fourth proportional to 52,022, 78,019.94 and 14,572.38 is: 21,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022 : 78,019.94 = 14,572.38 : x
  2. Step 2: Convert to fraction form
    52,022/78,019.94 = 14,572.38/x
  3. Step 3: Cross multiply
    52,022x = 78,019.94 × 14,572.38
  4. Step 4: Simplify right side
    52,022x = 1,136,936,213.26
  5. Step 5: Solve for x
    x = 1,136,936,213.26/52,022
  6. Step 6: Final answer
    x = 21,854.91

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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.