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Finding the Fourth Proportional to 32,427.68, 48,641.52 and 11,646.24

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Solution

The fourth proportional to 32,427.68, 48,641.52 and 11,646.24 is: 17,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.68 : 48,641.52 = 11,646.24 : x
  2. Step 2: Convert to fraction form
    32,427.68/48,641.52 = 11,646.24/x
  3. Step 3: Cross multiply
    32,427.68x = 48,641.52 × 11,646.24
  4. Step 4: Simplify right side
    32,427.68x = 566,490,815.88
  5. Step 5: Solve for x
    x = 566,490,815.88/32,427.68
  6. Step 6: Final answer
    x = 17,469.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.