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Finding the Fourth Proportional to 27,792, 41,692.32 and 9,328.32

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Solution

The fourth proportional to 27,792, 41,692.32 and 9,328.32 is: 13,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 41,692.32 = 9,328.32 : x
  2. Step 2: Convert to fraction form
    27,792/41,692.32 = 9,328.32/x
  3. Step 3: Cross multiply
    27,792x = 41,692.32 × 9,328.32
  4. Step 4: Simplify right side
    27,792x = 388,919,302.50
  5. Step 5: Solve for x
    x = 388,919,302.50/27,792
  6. Step 6: Final answer
    x = 13,993.93

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Why These Related Problems?

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