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Finding the Fourth Proportional to 65,473.89, 98,157.84 and 20,472.09

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Solution

The fourth proportional to 65,473.89, 98,157.84 and 20,472.09 is: 30,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473.89 : 98,157.84 = 20,472.09 : x
  2. Step 2: Convert to fraction form
    65,473.89/98,157.84 = 20,472.09/x
  3. Step 3: Cross multiply
    65,473.89x = 98,157.84 × 20,472.09
  4. Step 4: Simplify right side
    65,473.89x = 2,009,495,643.90
  5. Step 5: Solve for x
    x = 2,009,495,643.90/65,473.89
  6. Step 6: Final answer
    x = 30,691.56

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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.