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Finding the Fourth Proportional to 37,704.46, 56,557.50 and 11,409.16

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Solution

The fourth proportional to 37,704.46, 56,557.50 and 11,409.16 is: 17,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704.46 : 56,557.50 = 11,409.16 : x
  2. Step 2: Convert to fraction form
    37,704.46/56,557.50 = 11,409.16/x
  3. Step 3: Cross multiply
    37,704.46x = 56,557.50 × 11,409.16
  4. Step 4: Simplify right side
    37,704.46x = 645,273,566.70
  5. Step 5: Solve for x
    x = 645,273,566.70/37,704.46
  6. Step 6: Final answer
    x = 17,113.99

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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.