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Finding the Fourth Proportional to 42,048.56, 58,026.84 and 23,186

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Solution

The fourth proportional to 42,048.56, 58,026.84 and 23,186 is: 31,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048.56 : 58,026.84 = 23,186 : x
  2. Step 2: Convert to fraction form
    42,048.56/58,026.84 = 23,186/x
  3. Step 3: Cross multiply
    42,048.56x = 58,026.84 × 23,186
  4. Step 4: Simplify right side
    42,048.56x = 1,345,410,312.24
  5. Step 5: Solve for x
    x = 1,345,410,312.24/42,048.56
  6. Step 6: Final answer
    x = 31,996.58

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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.