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Finding the Fourth Proportional to 31,640.49, 47,437.31 and 19,157.58

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Solution

The fourth proportional to 31,640.49, 47,437.31 and 19,157.58 is: 28,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.49 : 47,437.31 = 19,157.58 : x
  2. Step 2: Convert to fraction form
    31,640.49/47,437.31 = 19,157.58/x
  3. Step 3: Cross multiply
    31,640.49x = 47,437.31 × 19,157.58
  4. Step 4: Simplify right side
    31,640.49x = 908,784,061.31
  5. Step 5: Solve for x
    x = 908,784,061.31/31,640.49
  6. Step 6: Final answer
    x = 28,722.19

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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.