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Finding the Fourth Proportional to 53,881.99, 80,823.00 and 16,442.26

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Solution

The fourth proportional to 53,881.99, 80,823.00 and 16,442.26 is: 24,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.99 : 80,823.00 = 16,442.26 : x
  2. Step 2: Convert to fraction form
    53,881.99/80,823.00 = 16,442.26/x
  3. Step 3: Cross multiply
    53,881.99x = 80,823.00 × 16,442.26
  4. Step 4: Simplify right side
    53,881.99x = 1,328,912,819.35
  5. Step 5: Solve for x
    x = 1,328,912,819.35/53,881.99
  6. Step 6: Final answer
    x = 24,663.39

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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.