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Finding the Fourth Proportional to 30,076, 41,504.28 and 16,647.25

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Solution

The fourth proportional to 30,076, 41,504.28 and 16,647.25 is: 22,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076 : 41,504.28 = 16,647.25 : x
  2. Step 2: Convert to fraction form
    30,076/41,504.28 = 16,647.25/x
  3. Step 3: Cross multiply
    30,076x = 41,504.28 × 16,647.25
  4. Step 4: Simplify right side
    30,076x = 690,932,125.23
  5. Step 5: Solve for x
    x = 690,932,125.23/30,076
  6. Step 6: Final answer
    x = 22,972.87

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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.