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Finding the Fourth Proportional to 65,062, 97,593 and 15,814

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Solution

The fourth proportional to 65,062, 97,593 and 15,814 is: 23,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062 : 97,593 = 15,814 : x
  2. Step 2: Convert to fraction form
    65,062/97,593 = 15,814/x
  3. Step 3: Cross multiply
    65,062x = 97,593 × 15,814
  4. Step 4: Simplify right side
    65,062x = 1,543,335,702
  5. Step 5: Solve for x
    x = 1,543,335,702/65,062
  6. Step 6: Final answer
    x = 23,721

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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.