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Finding the Fourth Proportional to 38,396.34, 57,482.37 and 31,015.17

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Solution

The fourth proportional to 38,396.34, 57,482.37 and 31,015.17 is: 46,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.34 : 57,482.37 = 31,015.17 : x
  2. Step 2: Convert to fraction form
    38,396.34/57,482.37 = 31,015.17/x
  3. Step 3: Cross multiply
    38,396.34x = 57,482.37 × 31,015.17
  4. Step 4: Simplify right side
    38,396.34x = 1,782,825,477.55
  5. Step 5: Solve for x
    x = 1,782,825,477.55/38,396.34
  6. Step 6: Final answer
    x = 46,432.17

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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.