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Finding the Fourth Proportional to 74,216.54, 111,062 and 46,149.80

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Solution

The fourth proportional to 74,216.54, 111,062 and 46,149.80 is: 69,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,216.54 : 111,062 = 46,149.80 : x
  2. Step 2: Convert to fraction form
    74,216.54/111,062 = 46,149.80/x
  3. Step 3: Cross multiply
    74,216.54x = 111,062 × 46,149.80
  4. Step 4: Simplify right side
    74,216.54x = 5,125,489,087.60
  5. Step 5: Solve for x
    x = 5,125,489,087.60/74,216.54
  6. Step 6: Final answer
    x = 69,061.28

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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.