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Finding the Fourth Proportional to 70,503.42, 105,699.67 and 34,940.30

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Solution

The fourth proportional to 70,503.42, 105,699.67 and 34,940.30 is: 52,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503.42 : 105,699.67 = 34,940.30 : x
  2. Step 2: Convert to fraction form
    70,503.42/105,699.67 = 34,940.30/x
  3. Step 3: Cross multiply
    70,503.42x = 105,699.67 × 34,940.30
  4. Step 4: Simplify right side
    70,503.42x = 3,693,177,563.85
  5. Step 5: Solve for x
    x = 3,693,177,563.85/70,503.42
  6. Step 6: Final answer
    x = 52,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.