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Finding the Fourth Proportional to 35,271, 52,906.50 and 10,647

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Solution

The fourth proportional to 35,271, 52,906.50 and 10,647 is: 15,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,271 : 52,906.50 = 10,647 : x
  2. Step 2: Convert to fraction form
    35,271/52,906.50 = 10,647/x
  3. Step 3: Cross multiply
    35,271x = 52,906.50 × 10,647
  4. Step 4: Simplify right side
    35,271x = 563,295,505.50
  5. Step 5: Solve for x
    x = 563,295,505.50/35,271
  6. Step 6: Final answer
    x = 15,970.50

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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.