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Finding the Fourth Proportional to 50,072.90, 69,100.66 and 31,210

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Solution

The fourth proportional to 50,072.90, 69,100.66 and 31,210 is: 43,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072.90 : 69,100.66 = 31,210 : x
  2. Step 2: Convert to fraction form
    50,072.90/69,100.66 = 31,210/x
  3. Step 3: Cross multiply
    50,072.90x = 69,100.66 × 31,210
  4. Step 4: Simplify right side
    50,072.90x = 2,156,631,598.60
  5. Step 5: Solve for x
    x = 2,156,631,598.60/50,072.90
  6. Step 6: Final answer
    x = 43,069.84

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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.