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Finding the Fourth Proportional to 97,272, 145,908 and 23,400

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Solution

The fourth proportional to 97,272, 145,908 and 23,400 is: 35,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272 : 145,908 = 23,400 : x
  2. Step 2: Convert to fraction form
    97,272/145,908 = 23,400/x
  3. Step 3: Cross multiply
    97,272x = 145,908 × 23,400
  4. Step 4: Simplify right side
    97,272x = 3,414,247,200
  5. Step 5: Solve for x
    x = 3,414,247,200/97,272
  6. Step 6: Final answer
    x = 35,100

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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.