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Finding the Fourth Proportional to 30,407, 41,961.66 and 17,159

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Solution

The fourth proportional to 30,407, 41,961.66 and 17,159 is: 23,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 41,961.66 = 17,159 : x
  2. Step 2: Convert to fraction form
    30,407/41,961.66 = 17,159/x
  3. Step 3: Cross multiply
    30,407x = 41,961.66 × 17,159
  4. Step 4: Simplify right side
    30,407x = 720,020,123.94
  5. Step 5: Solve for x
    x = 720,020,123.94/30,407
  6. Step 6: Final answer
    x = 23,679.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.