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Finding the Fourth Proportional to 61,054.70, 91,608.39 and 32,969.16

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Solution

The fourth proportional to 61,054.70, 91,608.39 and 32,969.16 is: 49,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,054.70 : 91,608.39 = 32,969.16 : x
  2. Step 2: Convert to fraction form
    61,054.70/91,608.39 = 32,969.16/x
  3. Step 3: Cross multiply
    61,054.70x = 91,608.39 × 32,969.16
  4. Step 4: Simplify right side
    61,054.70x = 3,020,251,667.25
  5. Step 5: Solve for x
    x = 3,020,251,667.25/61,054.70
  6. Step 6: Final answer
    x = 49,467.96

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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.