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Finding the Fourth Proportional to 35,236, 48,627.84 and 20,332

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Solution

The fourth proportional to 35,236, 48,627.84 and 20,332 is: 28,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,236 : 48,627.84 = 20,332 : x
  2. Step 2: Convert to fraction form
    35,236/48,627.84 = 20,332/x
  3. Step 3: Cross multiply
    35,236x = 48,627.84 × 20,332
  4. Step 4: Simplify right side
    35,236x = 988,701,242.88
  5. Step 5: Solve for x
    x = 988,701,242.88/35,236
  6. Step 6: Final answer
    x = 28,059.41

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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.