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Finding the Fourth Proportional to 65,629, 98,444.22 and 16,381

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Solution

The fourth proportional to 65,629, 98,444.22 and 16,381 is: 24,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,629 : 98,444.22 = 16,381 : x
  2. Step 2: Convert to fraction form
    65,629/98,444.22 = 16,381/x
  3. Step 3: Cross multiply
    65,629x = 98,444.22 × 16,381
  4. Step 4: Simplify right side
    65,629x = 1,612,614,767.82
  5. Step 5: Solve for x
    x = 1,612,614,767.82/65,629
  6. Step 6: Final answer
    x = 24,571.68

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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.