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Finding the Fourth Proportional to 65,331.84, 90,154.38 and 38,468.16

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Solution

The fourth proportional to 65,331.84, 90,154.38 and 38,468.16 is: 53,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331.84 : 90,154.38 = 38,468.16 : x
  2. Step 2: Convert to fraction form
    65,331.84/90,154.38 = 38,468.16/x
  3. Step 3: Cross multiply
    65,331.84x = 90,154.38 × 38,468.16
  4. Step 4: Simplify right side
    65,331.84x = 3,468,073,114.54
  5. Step 5: Solve for x
    x = 3,468,073,114.54/65,331.84
  6. Step 6: Final answer
    x = 53,083.97

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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.