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Finding the Fourth Proportional to 33,693.76, 50,534.56 and 9,064

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Solution

The fourth proportional to 33,693.76, 50,534.56 and 9,064 is: 13,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693.76 : 50,534.56 = 9,064 : x
  2. Step 2: Convert to fraction form
    33,693.76/50,534.56 = 9,064/x
  3. Step 3: Cross multiply
    33,693.76x = 50,534.56 × 9,064
  4. Step 4: Simplify right side
    33,693.76x = 458,045,251.84
  5. Step 5: Solve for x
    x = 458,045,251.84/33,693.76
  6. Step 6: Final answer
    x = 13,594.36

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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.