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Finding the Fourth Proportional to 65,363.66, 97,997.70 and 20,965.14

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Solution

The fourth proportional to 65,363.66, 97,997.70 and 20,965.14 is: 31,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,363.66 : 97,997.70 = 20,965.14 : x
  2. Step 2: Convert to fraction form
    65,363.66/97,997.70 = 20,965.14/x
  3. Step 3: Cross multiply
    65,363.66x = 97,997.70 × 20,965.14
  4. Step 4: Simplify right side
    65,363.66x = 2,054,535,500.18
  5. Step 5: Solve for x
    x = 2,054,535,500.18/65,363.66
  6. Step 6: Final answer
    x = 31,432.38

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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.