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Finding the Fourth Proportional to 33,154.32, 45,751.50 and 18,047

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Solution

The fourth proportional to 33,154.32, 45,751.50 and 18,047 is: 24,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.32 : 45,751.50 = 18,047 : x
  2. Step 2: Convert to fraction form
    33,154.32/45,751.50 = 18,047/x
  3. Step 3: Cross multiply
    33,154.32x = 45,751.50 × 18,047
  4. Step 4: Simplify right side
    33,154.32x = 825,677,320.50
  5. Step 5: Solve for x
    x = 825,677,320.50/33,154.32
  6. Step 6: Final answer
    x = 24,904.06

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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.