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Finding the Fourth Proportional to 42,024, 57,993.12 and 25,257

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Solution

The fourth proportional to 42,024, 57,993.12 and 25,257 is: 34,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024 : 57,993.12 = 25,257 : x
  2. Step 2: Convert to fraction form
    42,024/57,993.12 = 25,257/x
  3. Step 3: Cross multiply
    42,024x = 57,993.12 × 25,257
  4. Step 4: Simplify right side
    42,024x = 1,464,732,231.84
  5. Step 5: Solve for x
    x = 1,464,732,231.84/42,024
  6. Step 6: Final answer
    x = 34,854.66

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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.