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Finding the Fourth Proportional to 29,550, 40,779 and 16,302

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Solution

The fourth proportional to 29,550, 40,779 and 16,302 is: 22,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,550 : 40,779 = 16,302 : x
  2. Step 2: Convert to fraction form
    29,550/40,779 = 16,302/x
  3. Step 3: Cross multiply
    29,550x = 40,779 × 16,302
  4. Step 4: Simplify right side
    29,550x = 664,779,258
  5. Step 5: Solve for x
    x = 664,779,258/29,550
  6. Step 6: Final answer
    x = 22,496.76

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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.