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Finding the Fourth Proportional to 69,827.85, 104,802.30 and 36,571.32

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Solution

The fourth proportional to 69,827.85, 104,802.30 and 36,571.32 is: 54,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,827.85 : 104,802.30 = 36,571.32 : x
  2. Step 2: Convert to fraction form
    69,827.85/104,802.30 = 36,571.32/x
  3. Step 3: Cross multiply
    69,827.85x = 104,802.30 × 36,571.32
  4. Step 4: Simplify right side
    69,827.85x = 3,832,758,450.04
  5. Step 5: Solve for x
    x = 3,832,758,450.04/69,827.85
  6. Step 6: Final answer
    x = 54,888.68

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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.