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Finding the Fourth Proportional to 35,504, 53,256.96 and 10,880

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Solution

The fourth proportional to 35,504, 53,256.96 and 10,880 is: 16,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,504 : 53,256.96 = 10,880 : x
  2. Step 2: Convert to fraction form
    35,504/53,256.96 = 10,880/x
  3. Step 3: Cross multiply
    35,504x = 53,256.96 × 10,880
  4. Step 4: Simplify right side
    35,504x = 579,435,724.80
  5. Step 5: Solve for x
    x = 579,435,724.80/35,504
  6. Step 6: Final answer
    x = 16,320.29

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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.