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Finding the Fourth Proportional to 34,706.50, 52,070.68 and 11,327.46

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Solution

The fourth proportional to 34,706.50, 52,070.68 and 11,327.46 is: 16,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.50 : 52,070.68 = 11,327.46 : x
  2. Step 2: Convert to fraction form
    34,706.50/52,070.68 = 11,327.46/x
  3. Step 3: Cross multiply
    34,706.50x = 52,070.68 × 11,327.46
  4. Step 4: Simplify right side
    34,706.50x = 589,828,544.87
  5. Step 5: Solve for x
    x = 589,828,544.87/34,706.50
  6. Step 6: Final answer
    x = 16,994.76

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