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Finding the Fourth Proportional to 42,775, 59,028.42 and 23,912.26

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Solution

The fourth proportional to 42,775, 59,028.42 and 23,912.26 is: 32,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775 : 59,028.42 = 23,912.26 : x
  2. Step 2: Convert to fraction form
    42,775/59,028.42 = 23,912.26/x
  3. Step 3: Cross multiply
    42,775x = 59,028.42 × 23,912.26
  4. Step 4: Simplify right side
    42,775x = 1,411,502,926.43
  5. Step 5: Solve for x
    x = 1,411,502,926.43/42,775
  6. Step 6: Final answer
    x = 32,998.32

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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.