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Finding the Fourth Proportional to 67,894.56, 101,896.56 and 46,821.60

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Solution

The fourth proportional to 67,894.56, 101,896.56 and 46,821.60 is: 70,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894.56 : 101,896.56 = 46,821.60 : x
  2. Step 2: Convert to fraction form
    67,894.56/101,896.56 = 46,821.60/x
  3. Step 3: Cross multiply
    67,894.56x = 101,896.56 × 46,821.60
  4. Step 4: Simplify right side
    67,894.56x = 4,770,959,973.70
  5. Step 5: Solve for x
    x = 4,770,959,973.70/67,894.56
  6. Step 6: Final answer
    x = 70,270.14

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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.