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Finding the Fourth Proportional to 35,448, 53,172 and 10,824

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Solution

The fourth proportional to 35,448, 53,172 and 10,824 is: 16,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,448 : 53,172 = 10,824 : x
  2. Step 2: Convert to fraction form
    35,448/53,172 = 10,824/x
  3. Step 3: Cross multiply
    35,448x = 53,172 × 10,824
  4. Step 4: Simplify right side
    35,448x = 575,533,728
  5. Step 5: Solve for x
    x = 575,533,728/35,448
  6. Step 6: Final answer
    x = 16,236

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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.