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Finding the Fourth Proportional to 30,965.77, 46,448.81 and 7,592.23

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Solution

The fourth proportional to 30,965.77, 46,448.81 and 7,592.23 is: 11,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.77 : 46,448.81 = 7,592.23 : x
  2. Step 2: Convert to fraction form
    30,965.77/46,448.81 = 7,592.23/x
  3. Step 3: Cross multiply
    30,965.77x = 46,448.81 × 7,592.23
  4. Step 4: Simplify right side
    30,965.77x = 352,649,778.54
  5. Step 5: Solve for x
    x = 352,649,778.54/30,965.77
  6. Step 6: Final answer
    x = 11,388.38

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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.