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Finding the Fourth Proportional to 31,683.31, 43,706.06 and 19,590.57

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Solution

The fourth proportional to 31,683.31, 43,706.06 and 19,590.57 is: 27,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.31 : 43,706.06 = 19,590.57 : x
  2. Step 2: Convert to fraction form
    31,683.31/43,706.06 = 19,590.57/x
  3. Step 3: Cross multiply
    31,683.31x = 43,706.06 × 19,590.57
  4. Step 4: Simplify right side
    31,683.31x = 856,226,529.90
  5. Step 5: Solve for x
    x = 856,226,529.90/31,683.31
  6. Step 6: Final answer
    x = 27,024.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.