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Finding the Fourth Proportional to 97,830, 146,745.36 and 23,958

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Solution

The fourth proportional to 97,830, 146,745.36 and 23,958 is: 35,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830 : 146,745.36 = 23,958 : x
  2. Step 2: Convert to fraction form
    97,830/146,745.36 = 23,958/x
  3. Step 3: Cross multiply
    97,830x = 146,745.36 × 23,958
  4. Step 4: Simplify right side
    97,830x = 3,515,725,334.88
  5. Step 5: Solve for x
    x = 3,515,725,334.88/97,830
  6. Step 6: Final answer
    x = 35,937.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.