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Finding the Fourth Proportional to 31,026.70, 46,522.42 and 21,177.90

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Solution

The fourth proportional to 31,026.70, 46,522.42 and 21,177.90 is: 31,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,026.70 : 46,522.42 = 21,177.90 : x
  2. Step 2: Convert to fraction form
    31,026.70/46,522.42 = 21,177.90/x
  3. Step 3: Cross multiply
    31,026.70x = 46,522.42 × 21,177.90
  4. Step 4: Simplify right side
    31,026.70x = 985,247,158.52
  5. Step 5: Solve for x
    x = 985,247,158.52/31,026.70
  6. Step 6: Final answer
    x = 31,754.82

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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.