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Finding the Fourth Proportional to 66,020.69, 91,120.20 and 39,178

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Solution

The fourth proportional to 66,020.69, 91,120.20 and 39,178 is: 54,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,020.69 : 91,120.20 = 39,178 : x
  2. Step 2: Convert to fraction form
    66,020.69/91,120.20 = 39,178/x
  3. Step 3: Cross multiply
    66,020.69x = 91,120.20 × 39,178
  4. Step 4: Simplify right side
    66,020.69x = 3,569,906,999.71
  5. Step 5: Solve for x
    x = 3,569,906,999.71/66,020.69
  6. Step 6: Final answer
    x = 54,072.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.