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Finding the Fourth Proportional to 35,233, 48,623.70 and 20,329

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Solution

The fourth proportional to 35,233, 48,623.70 and 20,329 is: 28,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,233 : 48,623.70 = 20,329 : x
  2. Step 2: Convert to fraction form
    35,233/48,623.70 = 20,329/x
  3. Step 3: Cross multiply
    35,233x = 48,623.70 × 20,329
  4. Step 4: Simplify right side
    35,233x = 988,471,197.30
  5. Step 5: Solve for x
    x = 988,471,197.30/35,233
  6. Step 6: Final answer
    x = 28,055.27

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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.