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Finding the Fourth Proportional to 65,384.64, 98,086.68 and 30,327.84

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Solution

The fourth proportional to 65,384.64, 98,086.68 and 30,327.84 is: 45,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.64 : 98,086.68 = 30,327.84 : x
  2. Step 2: Convert to fraction form
    65,384.64/98,086.68 = 30,327.84/x
  3. Step 3: Cross multiply
    65,384.64x = 98,086.68 × 30,327.84
  4. Step 4: Simplify right side
    65,384.64x = 2,974,757,137.17
  5. Step 5: Solve for x
    x = 2,974,757,137.17/65,384.64
  6. Step 6: Final answer
    x = 45,496.27

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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.