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Finding the Fourth Proportional to 65,215.92, 97,802.72 and 20,832.24

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Solution

The fourth proportional to 65,215.92, 97,802.72 and 20,832.24 is: 31,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.92 : 97,802.72 = 20,832.24 : x
  2. Step 2: Convert to fraction form
    65,215.92/97,802.72 = 20,832.24/x
  3. Step 3: Cross multiply
    65,215.92x = 97,802.72 × 20,832.24
  4. Step 4: Simplify right side
    65,215.92x = 2,037,449,735.69
  5. Step 5: Solve for x
    x = 2,037,449,735.69/65,215.92
  6. Step 6: Final answer
    x = 31,241.60

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1.5x scale

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.