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Finding the Fourth Proportional to 50,738.98, 70,038.36 and 30,596.70

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Solution

The fourth proportional to 50,738.98, 70,038.36 and 30,596.70 is: 42,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.98 : 70,038.36 = 30,596.70 : x
  2. Step 2: Convert to fraction form
    50,738.98/70,038.36 = 30,596.70/x
  3. Step 3: Cross multiply
    50,738.98x = 70,038.36 × 30,596.70
  4. Step 4: Simplify right side
    50,738.98x = 2,142,942,689.41
  5. Step 5: Solve for x
    x = 2,142,942,689.41/50,738.98
  6. Step 6: Final answer
    x = 42,234.64

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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.