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Finding the Fourth Proportional to 70,295.56, 105,369.90 and 30,819.40

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Solution

The fourth proportional to 70,295.56, 105,369.90 and 30,819.40 is: 46,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.56 : 105,369.90 = 30,819.40 : x
  2. Step 2: Convert to fraction form
    70,295.56/105,369.90 = 30,819.40/x
  3. Step 3: Cross multiply
    70,295.56x = 105,369.90 × 30,819.40
  4. Step 4: Simplify right side
    70,295.56x = 3,247,437,096.06
  5. Step 5: Solve for x
    x = 3,247,437,096.06/70,295.56
  6. Step 6: Final answer
    x = 46,196.90

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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.