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Finding the Fourth Proportional to 109,382.63, 164,074.62 and 30,497.54

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Solution

The fourth proportional to 109,382.63, 164,074.62 and 30,497.54 is: 45,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.63 : 164,074.62 = 30,497.54 : x
  2. Step 2: Convert to fraction form
    109,382.63/164,074.62 = 30,497.54/x
  3. Step 3: Cross multiply
    109,382.63x = 164,074.62 × 30,497.54
  4. Step 4: Simplify right side
    109,382.63x = 5,003,872,286.43
  5. Step 5: Solve for x
    x = 5,003,872,286.43/109,382.63
  6. Step 6: Final answer
    x = 45,746.50

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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.