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Finding the Fourth Proportional to 32,649, 45,059.76 and 18,314.34

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Solution

The fourth proportional to 32,649, 45,059.76 and 18,314.34 is: 25,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649 : 45,059.76 = 18,314.34 : x
  2. Step 2: Convert to fraction form
    32,649/45,059.76 = 18,314.34/x
  3. Step 3: Cross multiply
    32,649x = 45,059.76 × 18,314.34
  4. Step 4: Simplify right side
    32,649x = 825,239,764.96
  5. Step 5: Solve for x
    x = 825,239,764.96/32,649
  6. Step 6: Final answer
    x = 25,276.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.