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Finding the Fourth Proportional to 35,348, 53,022 and 10,724

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Solution

The fourth proportional to 35,348, 53,022 and 10,724 is: 16,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,348 : 53,022 = 10,724 : x
  2. Step 2: Convert to fraction form
    35,348/53,022 = 10,724/x
  3. Step 3: Cross multiply
    35,348x = 53,022 × 10,724
  4. Step 4: Simplify right side
    35,348x = 568,607,928
  5. Step 5: Solve for x
    x = 568,607,928/35,348
  6. Step 6: Final answer
    x = 16,086

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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.