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Finding the Fourth Proportional to 35,102.87, 52,701.02 and 18,474.58

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Solution

The fourth proportional to 35,102.87, 52,701.02 and 18,474.58 is: 27,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.87 : 52,701.02 = 18,474.58 : x
  2. Step 2: Convert to fraction form
    35,102.87/52,701.02 = 18,474.58/x
  3. Step 3: Cross multiply
    35,102.87x = 52,701.02 × 18,474.58
  4. Step 4: Simplify right side
    35,102.87x = 973,629,210.07
  5. Step 5: Solve for x
    x = 973,629,210.07/35,102.87
  6. Step 6: Final answer
    x = 27,736.46

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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.