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Finding the Fourth Proportional to 39,826.40, 59,710.80 and 16,440.80

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Solution

The fourth proportional to 39,826.40, 59,710.80 and 16,440.80 is: 24,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,826.40 : 59,710.80 = 16,440.80 : x
  2. Step 2: Convert to fraction form
    39,826.40/59,710.80 = 16,440.80/x
  3. Step 3: Cross multiply
    39,826.40x = 59,710.80 × 16,440.80
  4. Step 4: Simplify right side
    39,826.40x = 981,693,320.64
  5. Step 5: Solve for x
    x = 981,693,320.64/39,826.40
  6. Step 6: Final answer
    x = 24,649.31

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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.