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Finding the Fourth Proportional to 41,665.10, 57,497.37 and 22,802

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Solution

The fourth proportional to 41,665.10, 57,497.37 and 22,802 is: 31,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,665.10 : 57,497.37 = 22,802 : x
  2. Step 2: Convert to fraction form
    41,665.10/57,497.37 = 22,802/x
  3. Step 3: Cross multiply
    41,665.10x = 57,497.37 × 22,802
  4. Step 4: Simplify right side
    41,665.10x = 1,311,055,030.74
  5. Step 5: Solve for x
    x = 1,311,055,030.74/41,665.10
  6. Step 6: Final answer
    x = 31,466.50

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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.