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Finding the Fourth Proportional to 52,097.50, 78,118.71 and 23,993.02

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Solution

The fourth proportional to 52,097.50, 78,118.71 and 23,993.02 is: 35,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.50 : 78,118.71 = 23,993.02 : x
  2. Step 2: Convert to fraction form
    52,097.50/78,118.71 = 23,993.02/x
  3. Step 3: Cross multiply
    52,097.50x = 78,118.71 × 23,993.02
  4. Step 4: Simplify right side
    52,097.50x = 1,874,303,771.40
  5. Step 5: Solve for x
    x = 1,874,303,771.40/52,097.50
  6. Step 6: Final answer
    x = 35,976.85

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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.