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Finding the Fourth Proportional to 32,196.32, 48,300.96 and 11,421.44

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Solution

The fourth proportional to 32,196.32, 48,300.96 and 11,421.44 is: 17,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.32 : 48,300.96 = 11,421.44 : x
  2. Step 2: Convert to fraction form
    32,196.32/48,300.96 = 11,421.44/x
  3. Step 3: Cross multiply
    32,196.32x = 48,300.96 × 11,421.44
  4. Step 4: Simplify right side
    32,196.32x = 551,666,516.58
  5. Step 5: Solve for x
    x = 551,666,516.58/32,196.32
  6. Step 6: Final answer
    x = 17,134.46

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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.