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Finding the Fourth Proportional to 33,094.56, 49,648.80 and 9,719.04

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Solution

The fourth proportional to 33,094.56, 49,648.80 and 9,719.04 is: 14,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094.56 : 49,648.80 = 9,719.04 : x
  2. Step 2: Convert to fraction form
    33,094.56/49,648.80 = 9,719.04/x
  3. Step 3: Cross multiply
    33,094.56x = 49,648.80 × 9,719.04
  4. Step 4: Simplify right side
    33,094.56x = 482,538,673.15
  5. Step 5: Solve for x
    x = 482,538,673.15/33,094.56
  6. Step 6: Final answer
    x = 14,580.60

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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.