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Finding the Fourth Proportional to 42,012.78, 57,975.03 and 24,109.26

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Solution

The fourth proportional to 42,012.78, 57,975.03 and 24,109.26 is: 33,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.78 : 57,975.03 = 24,109.26 : x
  2. Step 2: Convert to fraction form
    42,012.78/57,975.03 = 24,109.26/x
  3. Step 3: Cross multiply
    42,012.78x = 57,975.03 × 24,109.26
  4. Step 4: Simplify right side
    42,012.78x = 1,397,735,071.78
  5. Step 5: Solve for x
    x = 1,397,735,071.78/42,012.78
  6. Step 6: Final answer
    x = 33,269.28

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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.