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Finding the Fourth Proportional to 29,380, 40,546.56 and 18,204.16

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Solution

The fourth proportional to 29,380, 40,546.56 and 18,204.16 is: 25,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380 : 40,546.56 = 18,204.16 : x
  2. Step 2: Convert to fraction form
    29,380/40,546.56 = 18,204.16/x
  3. Step 3: Cross multiply
    29,380x = 40,546.56 × 18,204.16
  4. Step 4: Simplify right side
    29,380x = 738,116,065.69
  5. Step 5: Solve for x
    x = 738,116,065.69/29,380
  6. Step 6: Final answer
    x = 25,123.08

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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.