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Finding the Fourth Proportional to 36,013.32, 49,696.02 and 22,584

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Solution

The fourth proportional to 36,013.32, 49,696.02 and 22,584 is: 31,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,013.32 : 49,696.02 = 22,584 : x
  2. Step 2: Convert to fraction form
    36,013.32/49,696.02 = 22,584/x
  3. Step 3: Cross multiply
    36,013.32x = 49,696.02 × 22,584
  4. Step 4: Simplify right side
    36,013.32x = 1,122,334,915.68
  5. Step 5: Solve for x
    x = 1,122,334,915.68/36,013.32
  6. Step 6: Final answer
    x = 31,164.44

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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.