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Finding the Fourth Proportional to 36,056, 54,084 and 11,432

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Solution

The fourth proportional to 36,056, 54,084 and 11,432 is: 17,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,056 : 54,084 = 11,432 : x
  2. Step 2: Convert to fraction form
    36,056/54,084 = 11,432/x
  3. Step 3: Cross multiply
    36,056x = 54,084 × 11,432
  4. Step 4: Simplify right side
    36,056x = 618,288,288
  5. Step 5: Solve for x
    x = 618,288,288/36,056
  6. Step 6: Final answer
    x = 17,148

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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.