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Finding the Fourth Proportional to 65,738.82, 98,545.82 and 21,334.52

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Solution

The fourth proportional to 65,738.82, 98,545.82 and 21,334.52 is: 31,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.82 : 98,545.82 = 21,334.52 : x
  2. Step 2: Convert to fraction form
    65,738.82/98,545.82 = 21,334.52/x
  3. Step 3: Cross multiply
    65,738.82x = 98,545.82 × 21,334.52
  4. Step 4: Simplify right side
    65,738.82x = 2,102,427,168.30
  5. Step 5: Solve for x
    x = 2,102,427,168.30/65,738.82
  6. Step 6: Final answer
    x = 31,981.52

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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.