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Finding the Fourth Proportional to 103,322.56, 154,969.12 and 33,192.80

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Solution

The fourth proportional to 103,322.56, 154,969.12 and 33,192.80 is: 49,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.56 : 154,969.12 = 33,192.80 : x
  2. Step 2: Convert to fraction form
    103,322.56/154,969.12 = 33,192.80/x
  3. Step 3: Cross multiply
    103,322.56x = 154,969.12 × 33,192.80
  4. Step 4: Simplify right side
    103,322.56x = 5,143,859,006.34
  5. Step 5: Solve for x
    x = 5,143,859,006.34/103,322.56
  6. Step 6: Final answer
    x = 49,784.47

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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.