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Finding the Fourth Proportional to 37,706.46, 56,560.50 and 11,411.16

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Solution

The fourth proportional to 37,706.46, 56,560.50 and 11,411.16 is: 17,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706.46 : 56,560.50 = 11,411.16 : x
  2. Step 2: Convert to fraction form
    37,706.46/56,560.50 = 11,411.16/x
  3. Step 3: Cross multiply
    37,706.46x = 56,560.50 × 11,411.16
  4. Step 4: Simplify right side
    37,706.46x = 645,420,915.18
  5. Step 5: Solve for x
    x = 645,420,915.18/37,706.46
  6. Step 6: Final answer
    x = 17,116.99

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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.