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Finding the Fourth Proportional to 55,391.34, 82,954.56 and 31,946.70

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Solution

The fourth proportional to 55,391.34, 82,954.56 and 31,946.70 is: 47,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,391.34 : 82,954.56 = 31,946.70 : x
  2. Step 2: Convert to fraction form
    55,391.34/82,954.56 = 31,946.70/x
  3. Step 3: Cross multiply
    55,391.34x = 82,954.56 × 31,946.70
  4. Step 4: Simplify right side
    55,391.34x = 2,650,124,441.95
  5. Step 5: Solve for x
    x = 2,650,124,441.95/55,391.34
  6. Step 6: Final answer
    x = 47,843.66

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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.