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Finding the Fourth Proportional to 29,122, 40,186.92 and 16,546.48

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Solution

The fourth proportional to 29,122, 40,186.92 and 16,546.48 is: 22,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122 : 40,186.92 = 16,546.48 : x
  2. Step 2: Convert to fraction form
    29,122/40,186.92 = 16,546.48/x
  3. Step 3: Cross multiply
    29,122x = 40,186.92 × 16,546.48
  4. Step 4: Simplify right side
    29,122x = 664,952,068.04
  5. Step 5: Solve for x
    x = 664,952,068.04/29,122
  6. Step 6: Final answer
    x = 22,833.32

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1.5x scale

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.