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Finding the Fourth Proportional to 32,965.80, 49,416.30 and 16,328.40

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Solution

The fourth proportional to 32,965.80, 49,416.30 and 16,328.40 is: 24,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.80 : 49,416.30 = 16,328.40 : x
  2. Step 2: Convert to fraction form
    32,965.80/49,416.30 = 16,328.40/x
  3. Step 3: Cross multiply
    32,965.80x = 49,416.30 × 16,328.40
  4. Step 4: Simplify right side
    32,965.80x = 806,889,112.92
  5. Step 5: Solve for x
    x = 806,889,112.92/32,965.80
  6. Step 6: Final answer
    x = 24,476.55

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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.