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Finding the Fourth Proportional to 35,102.40, 52,662.24 and 24,734.40

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Solution

The fourth proportional to 35,102.40, 52,662.24 and 24,734.40 is: 37,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.40 : 52,662.24 = 24,734.40 : x
  2. Step 2: Convert to fraction form
    35,102.40/52,662.24 = 24,734.40/x
  3. Step 3: Cross multiply
    35,102.40x = 52,662.24 × 24,734.40
  4. Step 4: Simplify right side
    35,102.40x = 1,302,568,909.06
  5. Step 5: Solve for x
    x = 1,302,568,909.06/35,102.40
  6. Step 6: Final answer
    x = 37,107.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.