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Finding the Fourth Proportional to 31,051, 42,850.38 and 16,903

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Solution

The fourth proportional to 31,051, 42,850.38 and 16,903 is: 23,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051 : 42,850.38 = 16,903 : x
  2. Step 2: Convert to fraction form
    31,051/42,850.38 = 16,903/x
  3. Step 3: Cross multiply
    31,051x = 42,850.38 × 16,903
  4. Step 4: Simplify right side
    31,051x = 724,299,973.14
  5. Step 5: Solve for x
    x = 724,299,973.14/31,051
  6. Step 6: Final answer
    x = 23,326.14

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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.