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Finding the Fourth Proportional to 65,782.89, 98,697.24 and 20,811.20

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Solution

The fourth proportional to 65,782.89, 98,697.24 and 20,811.20 is: 31,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.89 : 98,697.24 = 20,811.20 : x
  2. Step 2: Convert to fraction form
    65,782.89/98,697.24 = 20,811.20/x
  3. Step 3: Cross multiply
    65,782.89x = 98,697.24 × 20,811.20
  4. Step 4: Simplify right side
    65,782.89x = 2,054,007,507.60
  5. Step 5: Solve for x
    x = 2,054,007,507.60/65,782.89
  6. Step 6: Final answer
    x = 31,224.04

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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.