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Finding the Fourth Proportional to 30,208.95, 41,695.02 and 16,784.82

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Solution

The fourth proportional to 30,208.95, 41,695.02 and 16,784.82 is: 23,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.95 : 41,695.02 = 16,784.82 : x
  2. Step 2: Convert to fraction form
    30,208.95/41,695.02 = 16,784.82/x
  3. Step 3: Cross multiply
    30,208.95x = 41,695.02 × 16,784.82
  4. Step 4: Simplify right side
    30,208.95x = 699,843,405.60
  5. Step 5: Solve for x
    x = 699,843,405.60/30,208.95
  6. Step 6: Final answer
    x = 23,166.76

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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.