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Finding the Fourth Proportional to 33,284.86, 45,932.40 and 18,178

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Solution

The fourth proportional to 33,284.86, 45,932.40 and 18,178 is: 25,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.86 : 45,932.40 = 18,178 : x
  2. Step 2: Convert to fraction form
    33,284.86/45,932.40 = 18,178/x
  3. Step 3: Cross multiply
    33,284.86x = 45,932.40 × 18,178
  4. Step 4: Simplify right side
    33,284.86x = 834,959,167.20
  5. Step 5: Solve for x
    x = 834,959,167.20/33,284.86
  6. Step 6: Final answer
    x = 25,085.25

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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.