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Finding the Fourth Proportional to 42,015.54, 57,982.78 and 24,113.82

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Solution

The fourth proportional to 42,015.54, 57,982.78 and 24,113.82 is: 33,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.54 : 57,982.78 = 24,113.82 : x
  2. Step 2: Convert to fraction form
    42,015.54/57,982.78 = 24,113.82/x
  3. Step 3: Cross multiply
    42,015.54x = 57,982.78 × 24,113.82
  4. Step 4: Simplify right side
    42,015.54x = 1,398,186,320.02
  5. Step 5: Solve for x
    x = 1,398,186,320.02/42,015.54
  6. Step 6: Final answer
    x = 33,277.84

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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.