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Finding the Fourth Proportional to 31,068.36, 46,584.54 and 21,219.54

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Solution

The fourth proportional to 31,068.36, 46,584.54 and 21,219.54 is: 31,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068.36 : 46,584.54 = 21,219.54 : x
  2. Step 2: Convert to fraction form
    31,068.36/46,584.54 = 21,219.54/x
  3. Step 3: Cross multiply
    31,068.36x = 46,584.54 × 21,219.54
  4. Step 4: Simplify right side
    31,068.36x = 988,502,509.91
  5. Step 5: Solve for x
    x = 988,502,509.91/31,068.36
  6. Step 6: Final answer
    x = 31,817.02

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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.