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Finding the Fourth Proportional to 33,078.58, 49,588.71 and 12,287.50

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Solution

The fourth proportional to 33,078.58, 49,588.71 and 12,287.50 is: 18,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.58 : 49,588.71 = 12,287.50 : x
  2. Step 2: Convert to fraction form
    33,078.58/49,588.71 = 12,287.50/x
  3. Step 3: Cross multiply
    33,078.58x = 49,588.71 × 12,287.50
  4. Step 4: Simplify right side
    33,078.58x = 609,321,274.13
  5. Step 5: Solve for x
    x = 609,321,274.13/33,078.58
  6. Step 6: Final answer
    x = 18,420.42

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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.