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Finding the Fourth Proportional to 50,675.84, 69,957.60 and 31,823.36

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Solution

The fourth proportional to 50,675.84, 69,957.60 and 31,823.36 is: 43,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,675.84 : 69,957.60 = 31,823.36 : x
  2. Step 2: Convert to fraction form
    50,675.84/69,957.60 = 31,823.36/x
  3. Step 3: Cross multiply
    50,675.84x = 69,957.60 × 31,823.36
  4. Step 4: Simplify right side
    50,675.84x = 2,226,285,889.54
  5. Step 5: Solve for x
    x = 2,226,285,889.54/50,675.84
  6. Step 6: Final answer
    x = 43,931.90

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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.