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Finding the Fourth Proportional to 35,126, 48,473.88 and 20,222

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Solution

The fourth proportional to 35,126, 48,473.88 and 20,222 is: 27,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,126 : 48,473.88 = 20,222 : x
  2. Step 2: Convert to fraction form
    35,126/48,473.88 = 20,222/x
  3. Step 3: Cross multiply
    35,126x = 48,473.88 × 20,222
  4. Step 4: Simplify right side
    35,126x = 980,238,801.36
  5. Step 5: Solve for x
    x = 980,238,801.36/35,126
  6. Step 6: Final answer
    x = 27,906.36

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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.