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Finding the Fourth Proportional to 42,081.96, 58,072.98 and 23,219.10

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Solution

The fourth proportional to 42,081.96, 58,072.98 and 23,219.10 is: 32,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,081.96 : 58,072.98 = 23,219.10 : x
  2. Step 2: Convert to fraction form
    42,081.96/58,072.98 = 23,219.10/x
  3. Step 3: Cross multiply
    42,081.96x = 58,072.98 × 23,219.10
  4. Step 4: Simplify right side
    42,081.96x = 1,348,402,329.92
  5. Step 5: Solve for x
    x = 1,348,402,329.92/42,081.96
  6. Step 6: Final answer
    x = 32,042.29

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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.