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Finding the Fourth Proportional to 65,130.87, 97,693.26 and 27,164.46

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Solution

The fourth proportional to 65,130.87, 97,693.26 and 27,164.46 is: 40,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.87 : 97,693.26 = 27,164.46 : x
  2. Step 2: Convert to fraction form
    65,130.87/97,693.26 = 27,164.46/x
  3. Step 3: Cross multiply
    65,130.87x = 97,693.26 × 27,164.46
  4. Step 4: Simplify right side
    65,130.87x = 2,653,784,653.54
  5. Step 5: Solve for x
    x = 2,653,784,653.54/65,130.87
  6. Step 6: Final answer
    x = 40,745.42

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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.