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Finding the Fourth Proportional to 93,182.25, 139,795.25 and 30,852.75

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Solution

The fourth proportional to 93,182.25, 139,795.25 and 30,852.75 is: 46,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,182.25 : 139,795.25 = 30,852.75 : x
  2. Step 2: Convert to fraction form
    93,182.25/139,795.25 = 30,852.75/x
  3. Step 3: Cross multiply
    93,182.25x = 139,795.25 × 30,852.75
  4. Step 4: Simplify right side
    93,182.25x = 4,313,067,745.17
  5. Step 5: Solve for x
    x = 4,313,067,745.17/93,182.25
  6. Step 6: Final answer
    x = 46,286.37

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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.