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Finding the Fourth Proportional to 33,004, 45,548.40 and 18,102.88

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Solution

The fourth proportional to 33,004, 45,548.40 and 18,102.88 is: 24,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004 : 45,548.40 = 18,102.88 : x
  2. Step 2: Convert to fraction form
    33,004/45,548.40 = 18,102.88/x
  3. Step 3: Cross multiply
    33,004x = 45,548.40 × 18,102.88
  4. Step 4: Simplify right side
    33,004x = 824,557,219.39
  5. Step 5: Solve for x
    x = 824,557,219.39/33,004
  6. Step 6: Final answer
    x = 24,983.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.