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Finding the Fourth Proportional to 39,797.80, 59,682.30 and 16,095.40

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Solution

The fourth proportional to 39,797.80, 59,682.30 and 16,095.40 is: 24,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,797.80 : 59,682.30 = 16,095.40 : x
  2. Step 2: Convert to fraction form
    39,797.80/59,682.30 = 16,095.40/x
  3. Step 3: Cross multiply
    39,797.80x = 59,682.30 × 16,095.40
  4. Step 4: Simplify right side
    39,797.80x = 960,610,491.42
  5. Step 5: Solve for x
    x = 960,610,491.42/39,797.80
  6. Step 6: Final answer
    x = 24,137.28

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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.