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Finding the Fourth Proportional to 42,047.56, 58,025.46 and 23,185

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Solution

The fourth proportional to 42,047.56, 58,025.46 and 23,185 is: 31,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.56 : 58,025.46 = 23,185 : x
  2. Step 2: Convert to fraction form
    42,047.56/58,025.46 = 23,185/x
  3. Step 3: Cross multiply
    42,047.56x = 58,025.46 × 23,185
  4. Step 4: Simplify right side
    42,047.56x = 1,345,320,290.10
  5. Step 5: Solve for x
    x = 1,345,320,290.10/42,047.56
  6. Step 6: Final answer
    x = 31,995.20

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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.