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Finding the Fourth Proportional to 29,643.75, 40,909.50 and 16,898.94

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Solution

The fourth proportional to 29,643.75, 40,909.50 and 16,898.94 is: 23,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.75 : 40,909.50 = 16,898.94 : x
  2. Step 2: Convert to fraction form
    29,643.75/40,909.50 = 16,898.94/x
  3. Step 3: Cross multiply
    29,643.75x = 40,909.50 × 16,898.94
  4. Step 4: Simplify right side
    29,643.75x = 691,327,185.93
  5. Step 5: Solve for x
    x = 691,327,185.93/29,643.75
  6. Step 6: Final answer
    x = 23,321.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.