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Finding the Fourth Proportional to 38,012.10, 57,019.32 and 13,051.83

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Solution

The fourth proportional to 38,012.10, 57,019.32 and 13,051.83 is: 19,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.10 : 57,019.32 = 13,051.83 : x
  2. Step 2: Convert to fraction form
    38,012.10/57,019.32 = 13,051.83/x
  3. Step 3: Cross multiply
    38,012.10x = 57,019.32 × 13,051.83
  4. Step 4: Simplify right side
    38,012.10x = 744,206,471.36
  5. Step 5: Solve for x
    x = 744,206,471.36/38,012.10
  6. Step 6: Final answer
    x = 19,578.15

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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.