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Finding the Fourth Proportional to 42,805.09, 59,071.17 and 23,941

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Solution

The fourth proportional to 42,805.09, 59,071.17 and 23,941 is: 33,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,805.09 : 59,071.17 = 23,941 : x
  2. Step 2: Convert to fraction form
    42,805.09/59,071.17 = 23,941/x
  3. Step 3: Cross multiply
    42,805.09x = 59,071.17 × 23,941
  4. Step 4: Simplify right side
    42,805.09x = 1,414,222,880.97
  5. Step 5: Solve for x
    x = 1,414,222,880.97/42,805.09
  6. Step 6: Final answer
    x = 33,038.66

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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.