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Finding the Fourth Proportional to 101,372, 152,058.56 and 27,500

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Solution

The fourth proportional to 101,372, 152,058.56 and 27,500 is: 41,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,372 : 152,058.56 = 27,500 : x
  2. Step 2: Convert to fraction form
    101,372/152,058.56 = 27,500/x
  3. Step 3: Cross multiply
    101,372x = 152,058.56 × 27,500
  4. Step 4: Simplify right side
    101,372x = 4,181,610,400
  5. Step 5: Solve for x
    x = 4,181,610,400/101,372
  6. Step 6: Final answer
    x = 41,250.15

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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.