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Finding the Fourth Proportional to 65,695.98, 98,183.96 and 47,963.98

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Solution

The fourth proportional to 65,695.98, 98,183.96 and 47,963.98 is: 71,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.98 : 98,183.96 = 47,963.98 : x
  2. Step 2: Convert to fraction form
    65,695.98/98,183.96 = 47,963.98/x
  3. Step 3: Cross multiply
    65,695.98x = 98,183.96 × 47,963.98
  4. Step 4: Simplify right side
    65,695.98x = 4,709,293,493.76
  5. Step 5: Solve for x
    x = 4,709,293,493.76/65,695.98
  6. Step 6: Final answer
    x = 71,683.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.