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Finding the Fourth Proportional to 30,796.66, 42,499.38 and 16,649.50

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Solution

The fourth proportional to 30,796.66, 42,499.38 and 16,649.50 is: 22,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.66 : 42,499.38 = 16,649.50 : x
  2. Step 2: Convert to fraction form
    30,796.66/42,499.38 = 16,649.50/x
  3. Step 3: Cross multiply
    30,796.66x = 42,499.38 × 16,649.50
  4. Step 4: Simplify right side
    30,796.66x = 707,593,427.31
  5. Step 5: Solve for x
    x = 707,593,427.31/30,796.66
  6. Step 6: Final answer
    x = 22,976.30

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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.