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Finding the Fourth Proportional to 32,684.32, 45,097.68 and 18,533.44

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Solution

The fourth proportional to 32,684.32, 45,097.68 and 18,533.44 is: 25,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.32 : 45,097.68 = 18,533.44 : x
  2. Step 2: Convert to fraction form
    32,684.32/45,097.68 = 18,533.44/x
  3. Step 3: Cross multiply
    32,684.32x = 45,097.68 × 18,533.44
  4. Step 4: Simplify right side
    32,684.32x = 835,815,146.42
  5. Step 5: Solve for x
    x = 835,815,146.42/32,684.32
  6. Step 6: Final answer
    x = 25,572.36

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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.