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Finding the Fourth Proportional to 38,586, 57,853.08 and 31,069.20

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Solution

The fourth proportional to 38,586, 57,853.08 and 31,069.20 is: 46,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586 : 57,853.08 = 31,069.20 : x
  2. Step 2: Convert to fraction form
    38,586/57,853.08 = 31,069.20/x
  3. Step 3: Cross multiply
    38,586x = 57,853.08 × 31,069.20
  4. Step 4: Simplify right side
    38,586x = 1,797,448,913.14
  5. Step 5: Solve for x
    x = 1,797,448,913.14/38,586
  6. Step 6: Final answer
    x = 46,582.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.