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Finding the Fourth Proportional to 32,822, 45,296 and 18,676.16

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Solution

The fourth proportional to 32,822, 45,296 and 18,676.16 is: 25,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822 : 45,296 = 18,676.16 : x
  2. Step 2: Convert to fraction form
    32,822/45,296 = 18,676.16/x
  3. Step 3: Cross multiply
    32,822x = 45,296 × 18,676.16
  4. Step 4: Simplify right side
    32,822x = 845,955,343.36
  5. Step 5: Solve for x
    x = 845,955,343.36/32,822
  6. Step 6: Final answer
    x = 25,774.03

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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.