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Finding the Fourth Proportional to 35,168, 48,531.84 and 20,264

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Solution

The fourth proportional to 35,168, 48,531.84 and 20,264 is: 27,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,168 : 48,531.84 = 20,264 : x
  2. Step 2: Convert to fraction form
    35,168/48,531.84 = 20,264/x
  3. Step 3: Cross multiply
    35,168x = 48,531.84 × 20,264
  4. Step 4: Simplify right side
    35,168x = 983,449,205.76
  5. Step 5: Solve for x
    x = 983,449,205.76/35,168
  6. Step 6: Final answer
    x = 27,964.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.