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Finding the Fourth Proportional to 97,164.56, 145,731 and 27,027.92

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Solution

The fourth proportional to 97,164.56, 145,731 and 27,027.92 is: 40,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164.56 : 145,731 = 27,027.92 : x
  2. Step 2: Convert to fraction form
    97,164.56/145,731 = 27,027.92/x
  3. Step 3: Cross multiply
    97,164.56x = 145,731 × 27,027.92
  4. Step 4: Simplify right side
    97,164.56x = 3,938,805,809.52
  5. Step 5: Solve for x
    x = 3,938,805,809.52/97,164.56
  6. Step 6: Final answer
    x = 40,537.47

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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.