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Finding the Fourth Proportional to 30,985.38, 42,759.62 and 16,838.22

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Solution

The fourth proportional to 30,985.38, 42,759.62 and 16,838.22 is: 23,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.38 : 42,759.62 = 16,838.22 : x
  2. Step 2: Convert to fraction form
    30,985.38/42,759.62 = 16,838.22/x
  3. Step 3: Cross multiply
    30,985.38x = 42,759.62 × 16,838.22
  4. Step 4: Simplify right side
    30,985.38x = 719,995,804.49
  5. Step 5: Solve for x
    x = 719,995,804.49/30,985.38
  6. Step 6: Final answer
    x = 23,236.63

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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.