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Finding the Fourth Proportional to 65,463.48, 98,195.22 and 30,384

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Solution

The fourth proportional to 65,463.48, 98,195.22 and 30,384 is: 45,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,463.48 : 98,195.22 = 30,384 : x
  2. Step 2: Convert to fraction form
    65,463.48/98,195.22 = 30,384/x
  3. Step 3: Cross multiply
    65,463.48x = 98,195.22 × 30,384
  4. Step 4: Simplify right side
    65,463.48x = 2,983,563,564.48
  5. Step 5: Solve for x
    x = 2,983,563,564.48/65,463.48
  6. Step 6: Final answer
    x = 45,576

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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.