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Finding the Fourth Proportional to 33,668.94, 50,498.54 and 10,289.10

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Solution

The fourth proportional to 33,668.94, 50,498.54 and 10,289.10 is: 15,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,668.94 : 50,498.54 = 10,289.10 : x
  2. Step 2: Convert to fraction form
    33,668.94/50,498.54 = 10,289.10/x
  3. Step 3: Cross multiply
    33,668.94x = 50,498.54 × 10,289.10
  4. Step 4: Simplify right side
    33,668.94x = 519,584,301.14
  5. Step 5: Solve for x
    x = 519,584,301.14/33,668.94
  6. Step 6: Final answer
    x = 15,432.16

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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.