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Finding the Fourth Proportional to 42,010, 57,975.42 and 23,146.72

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Solution

The fourth proportional to 42,010, 57,975.42 and 23,146.72 is: 31,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,010 : 57,975.42 = 23,146.72 : x
  2. Step 2: Convert to fraction form
    42,010/57,975.42 = 23,146.72/x
  3. Step 3: Cross multiply
    42,010x = 57,975.42 × 23,146.72
  4. Step 4: Simplify right side
    42,010x = 1,341,940,813.62
  5. Step 5: Solve for x
    x = 1,341,940,813.62/42,010
  6. Step 6: Final answer
    x = 31,943.37

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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.