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Finding the Fourth Proportional to 23,448, 35,172 and 7,032

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Solution

The fourth proportional to 23,448, 35,172 and 7,032 is: 10,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448 : 35,172 = 7,032 : x
  2. Step 2: Convert to fraction form
    23,448/35,172 = 7,032/x
  3. Step 3: Cross multiply
    23,448x = 35,172 × 7,032
  4. Step 4: Simplify right side
    23,448x = 247,329,504
  5. Step 5: Solve for x
    x = 247,329,504/23,448
  6. Step 6: Final answer
    x = 10,548

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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.