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Finding the Fourth Proportional to 97,372, 146,058 and 23,500

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Solution

The fourth proportional to 97,372, 146,058 and 23,500 is: 35,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,372 : 146,058 = 23,500 : x
  2. Step 2: Convert to fraction form
    97,372/146,058 = 23,500/x
  3. Step 3: Cross multiply
    97,372x = 146,058 × 23,500
  4. Step 4: Simplify right side
    97,372x = 3,432,363,000
  5. Step 5: Solve for x
    x = 3,432,363,000/97,372
  6. Step 6: Final answer
    x = 35,250

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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.