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Finding the Fourth Proportional to 65,542, 98,313.36 and 16,294

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Solution

The fourth proportional to 65,542, 98,313.36 and 16,294 is: 24,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542 : 98,313.36 = 16,294 : x
  2. Step 2: Convert to fraction form
    65,542/98,313.36 = 16,294/x
  3. Step 3: Cross multiply
    65,542x = 98,313.36 × 16,294
  4. Step 4: Simplify right side
    65,542x = 1,601,917,887.84
  5. Step 5: Solve for x
    x = 1,601,917,887.84/65,542
  6. Step 6: Final answer
    x = 24,441.09

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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.