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Finding the Fourth Proportional to 65,289.30, 97,941 and 27,853.32

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Solution

The fourth proportional to 65,289.30, 97,941 and 27,853.32 is: 41,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,289.30 : 97,941 = 27,853.32 : x
  2. Step 2: Convert to fraction form
    65,289.30/97,941 = 27,853.32/x
  3. Step 3: Cross multiply
    65,289.30x = 97,941 × 27,853.32
  4. Step 4: Simplify right side
    65,289.30x = 2,727,982,014.12
  5. Step 5: Solve for x
    x = 2,727,982,014.12/65,289.30
  6. Step 6: Final answer
    x = 41,782.99

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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.