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Finding the Fourth Proportional to 29,994.68, 45,022.35 and 17,538.50

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Solution

The fourth proportional to 29,994.68, 45,022.35 and 17,538.50 is: 26,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,994.68 : 45,022.35 = 17,538.50 : x
  2. Step 2: Convert to fraction form
    29,994.68/45,022.35 = 17,538.50/x
  3. Step 3: Cross multiply
    29,994.68x = 45,022.35 × 17,538.50
  4. Step 4: Simplify right side
    29,994.68x = 789,624,485.48
  5. Step 5: Solve for x
    x = 789,624,485.48/29,994.68
  6. Step 6: Final answer
    x = 26,325.48

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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.