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Finding the Fourth Proportional to 97,407.31, 146,109.37 and 30,847.33

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Solution

The fourth proportional to 97,407.31, 146,109.37 and 30,847.33 is: 46,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407.31 : 146,109.37 = 30,847.33 : x
  2. Step 2: Convert to fraction form
    97,407.31/146,109.37 = 30,847.33/x
  3. Step 3: Cross multiply
    97,407.31x = 146,109.37 × 30,847.33
  4. Step 4: Simplify right side
    97,407.31x = 4,507,084,115.84
  5. Step 5: Solve for x
    x = 4,507,084,115.84/97,407.31
  6. Step 6: Final answer
    x = 46,270.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.