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Finding the Fourth Proportional to 65,324.50, 90,145.20 and 38,468.14

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Solution

The fourth proportional to 65,324.50, 90,145.20 and 38,468.14 is: 53,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324.50 : 90,145.20 = 38,468.14 : x
  2. Step 2: Convert to fraction form
    65,324.50/90,145.20 = 38,468.14/x
  3. Step 3: Cross multiply
    65,324.50x = 90,145.20 × 38,468.14
  4. Step 4: Simplify right side
    65,324.50x = 3,467,718,173.93
  5. Step 5: Solve for x
    x = 3,467,718,173.93/65,324.50
  6. Step 6: Final answer
    x = 53,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.