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Finding the Fourth Proportional to 35,568, 53,352.72 and 10,944

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Solution

The fourth proportional to 35,568, 53,352.72 and 10,944 is: 16,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568 : 53,352.72 = 10,944 : x
  2. Step 2: Convert to fraction form
    35,568/53,352.72 = 10,944/x
  3. Step 3: Cross multiply
    35,568x = 53,352.72 × 10,944
  4. Step 4: Simplify right side
    35,568x = 583,892,167.68
  5. Step 5: Solve for x
    x = 583,892,167.68/35,568
  6. Step 6: Final answer
    x = 16,416.22

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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.