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Finding the Fourth Proportional to 53,826, 80,752.05 and 16,890

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Solution

The fourth proportional to 53,826, 80,752.05 and 16,890 is: 25,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,826 : 80,752.05 = 16,890 : x
  2. Step 2: Convert to fraction form
    53,826/80,752.05 = 16,890/x
  3. Step 3: Cross multiply
    53,826x = 80,752.05 × 16,890
  4. Step 4: Simplify right side
    53,826x = 1,363,902,124.50
  5. Step 5: Solve for x
    x = 1,363,902,124.50/53,826
  6. Step 6: Final answer
    x = 25,339.09

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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.