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Finding the Fourth Proportional to 42,083.64, 58,078.06 and 23,935.41

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Solution

The fourth proportional to 42,083.64, 58,078.06 and 23,935.41 is: 33,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,083.64 : 58,078.06 = 23,935.41 : x
  2. Step 2: Convert to fraction form
    42,083.64/58,078.06 = 23,935.41/x
  3. Step 3: Cross multiply
    42,083.64x = 58,078.06 × 23,935.41
  4. Step 4: Simplify right side
    42,083.64x = 1,390,122,118.27
  5. Step 5: Solve for x
    x = 1,390,122,118.27/42,083.64
  6. Step 6: Final answer
    x = 33,032.36

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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.