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Finding the Fourth Proportional to 97,571.80, 146,268.96 and 35,227.72

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Solution

The fourth proportional to 97,571.80, 146,268.96 and 35,227.72 is: 52,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,571.80 : 146,268.96 = 35,227.72 : x
  2. Step 2: Convert to fraction form
    97,571.80/146,268.96 = 35,227.72/x
  3. Step 3: Cross multiply
    97,571.80x = 146,268.96 × 35,227.72
  4. Step 4: Simplify right side
    97,571.80x = 5,152,721,967.57
  5. Step 5: Solve for x
    x = 5,152,721,967.57/97,571.80
  6. Step 6: Final answer
    x = 52,809.54

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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.