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Finding the Fourth Proportional to 30,965.40, 42,731.55 and 16,817.94

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Solution

The fourth proportional to 30,965.40, 42,731.55 and 16,817.94 is: 23,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.40 : 42,731.55 = 16,817.94 : x
  2. Step 2: Convert to fraction form
    30,965.40/42,731.55 = 16,817.94/x
  3. Step 3: Cross multiply
    30,965.40x = 42,731.55 × 16,817.94
  4. Step 4: Simplify right side
    30,965.40x = 718,656,644.01
  5. Step 5: Solve for x
    x = 718,656,644.01/30,965.40
  6. Step 6: Final answer
    x = 23,208.38

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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.