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Finding the Fourth Proportional to 41,313.98, 57,016.00 and 23,165.93

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Solution

The fourth proportional to 41,313.98, 57,016.00 and 23,165.93 is: 31,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,313.98 : 57,016.00 = 23,165.93 : x
  2. Step 2: Convert to fraction form
    41,313.98/57,016.00 = 23,165.93/x
  3. Step 3: Cross multiply
    41,313.98x = 57,016.00 × 23,165.93
  4. Step 4: Simplify right side
    41,313.98x = 1,320,828,836.38
  5. Step 5: Solve for x
    x = 1,320,828,836.38/41,313.98
  6. Step 6: Final answer
    x = 31,970.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.