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Finding the Fourth Proportional to 31,379.16, 47,079.54 and 19,678.68

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Solution

The fourth proportional to 31,379.16, 47,079.54 and 19,678.68 is: 29,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379.16 : 47,079.54 = 19,678.68 : x
  2. Step 2: Convert to fraction form
    31,379.16/47,079.54 = 19,678.68/x
  3. Step 3: Cross multiply
    31,379.16x = 47,079.54 × 19,678.68
  4. Step 4: Simplify right side
    31,379.16x = 926,463,202.21
  5. Step 5: Solve for x
    x = 926,463,202.21/31,379.16
  6. Step 6: Final answer
    x = 29,524.79

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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.