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Finding the Fourth Proportional to 30,283.36, 41,785.84 and 27,833.61

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Solution

The fourth proportional to 30,283.36, 41,785.84 and 27,833.61 is: 38,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.36 : 41,785.84 = 27,833.61 : x
  2. Step 2: Convert to fraction form
    30,283.36/41,785.84 = 27,833.61/x
  3. Step 3: Cross multiply
    30,283.36x = 41,785.84 × 27,833.61
  4. Step 4: Simplify right side
    30,283.36x = 1,163,050,774.08
  5. Step 5: Solve for x
    x = 1,163,050,774.08/30,283.36
  6. Step 6: Final answer
    x = 38,405.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.