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Finding the Fourth Proportional to 50,823.56, 70,126.50 and 31,949.72

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Solution

The fourth proportional to 50,823.56, 70,126.50 and 31,949.72 is: 44,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823.56 : 70,126.50 = 31,949.72 : x
  2. Step 2: Convert to fraction form
    50,823.56/70,126.50 = 31,949.72/x
  3. Step 3: Cross multiply
    50,823.56x = 70,126.50 × 31,949.72
  4. Step 4: Simplify right side
    50,823.56x = 2,240,522,039.58
  5. Step 5: Solve for x
    x = 2,240,522,039.58/50,823.56
  6. Step 6: Final answer
    x = 44,084.32

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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.