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Finding the Fourth Proportional to 33,176.64, 45,782.40 and 18,069

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Solution

The fourth proportional to 33,176.64, 45,782.40 and 18,069 is: 24,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176.64 : 45,782.40 = 18,069 : x
  2. Step 2: Convert to fraction form
    33,176.64/45,782.40 = 18,069/x
  3. Step 3: Cross multiply
    33,176.64x = 45,782.40 × 18,069
  4. Step 4: Simplify right side
    33,176.64x = 827,242,185.60
  5. Step 5: Solve for x
    x = 827,242,185.60/33,176.64
  6. Step 6: Final answer
    x = 24,934.48

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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.