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Finding the Fourth Proportional to 65,553, 98,329.86 and 16,305

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Solution

The fourth proportional to 65,553, 98,329.86 and 16,305 is: 24,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,553 : 98,329.86 = 16,305 : x
  2. Step 2: Convert to fraction form
    65,553/98,329.86 = 16,305/x
  3. Step 3: Cross multiply
    65,553x = 98,329.86 × 16,305
  4. Step 4: Simplify right side
    65,553x = 1,603,268,367.30
  5. Step 5: Solve for x
    x = 1,603,268,367.30/65,553
  6. Step 6: Final answer
    x = 24,457.59

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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.