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Finding the Fourth Proportional to 30,888.57, 42,626.34 and 16,741.38

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Solution

The fourth proportional to 30,888.57, 42,626.34 and 16,741.38 is: 23,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888.57 : 42,626.34 = 16,741.38 : x
  2. Step 2: Convert to fraction form
    30,888.57/42,626.34 = 16,741.38/x
  3. Step 3: Cross multiply
    30,888.57x = 42,626.34 × 16,741.38
  4. Step 4: Simplify right side
    30,888.57x = 713,623,755.95
  5. Step 5: Solve for x
    x = 713,623,755.95/30,888.57
  6. Step 6: Final answer
    x = 23,103.17

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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.