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Finding the Fourth Proportional to 29,546.52, 40,774.97 and 16,118

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Solution

The fourth proportional to 29,546.52, 40,774.97 and 16,118 is: 22,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.52 : 40,774.97 = 16,118 : x
  2. Step 2: Convert to fraction form
    29,546.52/40,774.97 = 16,118/x
  3. Step 3: Cross multiply
    29,546.52x = 40,774.97 × 16,118
  4. Step 4: Simplify right side
    29,546.52x = 657,210,885.87
  5. Step 5: Solve for x
    x = 657,210,885.87/29,546.52
  6. Step 6: Final answer
    x = 22,243.26

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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.