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Finding the Fourth Proportional to 35,048, 52,580.64 and 10,424

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Solution

The fourth proportional to 35,048, 52,580.64 and 10,424 is: 15,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,048 : 52,580.64 = 10,424 : x
  2. Step 2: Convert to fraction form
    35,048/52,580.64 = 10,424/x
  3. Step 3: Cross multiply
    35,048x = 52,580.64 × 10,424
  4. Step 4: Simplify right side
    35,048x = 548,100,591.36
  5. Step 5: Solve for x
    x = 548,100,591.36/35,048
  6. Step 6: Final answer
    x = 15,638.57

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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.