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Finding the Fourth Proportional to 42,103.89, 58,103.04 and 22,983.57

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Solution

The fourth proportional to 42,103.89, 58,103.04 and 22,983.57 is: 31,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,103.89 : 58,103.04 = 22,983.57 : x
  2. Step 2: Convert to fraction form
    42,103.89/58,103.04 = 22,983.57/x
  3. Step 3: Cross multiply
    42,103.89x = 58,103.04 × 22,983.57
  4. Step 4: Simplify right side
    42,103.89x = 1,335,415,287.05
  5. Step 5: Solve for x
    x = 1,335,415,287.05/42,103.89
  6. Step 6: Final answer
    x = 31,717.15

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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.