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Finding the Fourth Proportional to 42,101.50, 58,101.47 and 22,982.40

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Solution

The fourth proportional to 42,101.50, 58,101.47 and 22,982.40 is: 31,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,101.50 : 58,101.47 = 22,982.40 : x
  2. Step 2: Convert to fraction form
    42,101.50/58,101.47 = 22,982.40/x
  3. Step 3: Cross multiply
    42,101.50x = 58,101.47 × 22,982.40
  4. Step 4: Simplify right side
    42,101.50x = 1,335,311,224.13
  5. Step 5: Solve for x
    x = 1,335,311,224.13/42,101.50
  6. Step 6: Final answer
    x = 31,716.48

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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.