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Finding the Fourth Proportional to 66,825, 100,159.74 and 27,334.26

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Solution

The fourth proportional to 66,825, 100,159.74 and 27,334.26 is: 40,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 100,159.74 = 27,334.26 : x
  2. Step 2: Convert to fraction form
    66,825/100,159.74 = 27,334.26/x
  3. Step 3: Cross multiply
    66,825x = 100,159.74 × 27,334.26
  4. Step 4: Simplify right side
    66,825x = 2,737,792,374.69
  5. Step 5: Solve for x
    x = 2,737,792,374.69/66,825
  6. Step 6: Final answer
    x = 40,969.58

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1.5x scale

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.