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Finding the Fourth Proportional to 31,583.46, 43,584.91 and 17,436

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Solution

The fourth proportional to 31,583.46, 43,584.91 and 17,436 is: 24,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583.46 : 43,584.91 = 17,436 : x
  2. Step 2: Convert to fraction form
    31,583.46/43,584.91 = 17,436/x
  3. Step 3: Cross multiply
    31,583.46x = 43,584.91 × 17,436
  4. Step 4: Simplify right side
    31,583.46x = 759,946,490.76
  5. Step 5: Solve for x
    x = 759,946,490.76/31,583.46
  6. Step 6: Final answer
    x = 24,061.53

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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.