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Finding the Fourth Proportional to 97,284, 145,926 and 23,412

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Solution

The fourth proportional to 97,284, 145,926 and 23,412 is: 35,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284 : 145,926 = 23,412 : x
  2. Step 2: Convert to fraction form
    97,284/145,926 = 23,412/x
  3. Step 3: Cross multiply
    97,284x = 145,926 × 23,412
  4. Step 4: Simplify right side
    97,284x = 3,416,419,512
  5. Step 5: Solve for x
    x = 3,416,419,512/97,284
  6. Step 6: Final answer
    x = 35,118

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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.