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Finding the Fourth Proportional to 53,841, 80,762.22 and 16,905

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Solution

The fourth proportional to 53,841, 80,762.22 and 16,905 is: 25,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,841 : 80,762.22 = 16,905 : x
  2. Step 2: Convert to fraction form
    53,841/80,762.22 = 16,905/x
  3. Step 3: Cross multiply
    53,841x = 80,762.22 × 16,905
  4. Step 4: Simplify right side
    53,841x = 1,365,285,329.10
  5. Step 5: Solve for x
    x = 1,365,285,329.10/53,841
  6. Step 6: Final answer
    x = 25,357.73

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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.