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Finding the Fourth Proportional to 42,019.89, 57,984.42 and 24,114.45

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Solution

The fourth proportional to 42,019.89, 57,984.42 and 24,114.45 is: 33,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,019.89 : 57,984.42 = 24,114.45 : x
  2. Step 2: Convert to fraction form
    42,019.89/57,984.42 = 24,114.45/x
  3. Step 3: Cross multiply
    42,019.89x = 57,984.42 × 24,114.45
  4. Step 4: Simplify right side
    42,019.89x = 1,398,262,396.87
  5. Step 5: Solve for x
    x = 1,398,262,396.87/42,019.89
  6. Step 6: Final answer
    x = 33,276.20

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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.