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Finding the Fourth Proportional to 30,181.95, 41,650.75 and 16,753.32

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Solution

The fourth proportional to 30,181.95, 41,650.75 and 16,753.32 is: 23,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.95 : 41,650.75 = 16,753.32 : x
  2. Step 2: Convert to fraction form
    30,181.95/41,650.75 = 16,753.32/x
  3. Step 3: Cross multiply
    30,181.95x = 41,650.75 × 16,753.32
  4. Step 4: Simplify right side
    30,181.95x = 697,788,342.99
  5. Step 5: Solve for x
    x = 697,788,342.99/30,181.95
  6. Step 6: Final answer
    x = 23,119.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.