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Finding the Fourth Proportional to 39,797.80, 59,696.70 and 16,412.20

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Solution

The fourth proportional to 39,797.80, 59,696.70 and 16,412.20 is: 24,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,797.80 : 59,696.70 = 16,412.20 : x
  2. Step 2: Convert to fraction form
    39,797.80/59,696.70 = 16,412.20/x
  3. Step 3: Cross multiply
    39,797.80x = 59,696.70 × 16,412.20
  4. Step 4: Simplify right side
    39,797.80x = 979,754,179.74
  5. Step 5: Solve for x
    x = 979,754,179.74/39,797.80
  6. Step 6: Final answer
    x = 24,618.30

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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.