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Finding the Fourth Proportional to 52,097, 78,158.46 and 15,161

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Solution

The fourth proportional to 52,097, 78,158.46 and 15,161 is: 22,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097 : 78,158.46 = 15,161 : x
  2. Step 2: Convert to fraction form
    52,097/78,158.46 = 15,161/x
  3. Step 3: Cross multiply
    52,097x = 78,158.46 × 15,161
  4. Step 4: Simplify right side
    52,097x = 1,184,960,412.06
  5. Step 5: Solve for x
    x = 1,184,960,412.06/52,097
  6. Step 6: Final answer
    x = 22,745.27

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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.