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Finding the Fourth Proportional to 39,856.80, 59,763.60 and 16,456.80

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Solution

The fourth proportional to 39,856.80, 59,763.60 and 16,456.80 is: 24,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856.80 : 59,763.60 = 16,456.80 : x
  2. Step 2: Convert to fraction form
    39,856.80/59,763.60 = 16,456.80/x
  3. Step 3: Cross multiply
    39,856.80x = 59,763.60 × 16,456.80
  4. Step 4: Simplify right side
    39,856.80x = 983,517,612.48
  5. Step 5: Solve for x
    x = 983,517,612.48/39,856.80
  6. Step 6: Final answer
    x = 24,676.28

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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.