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Finding the Fourth Proportional to 32,620.08, 48,900.78 and 11,829

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Solution

The fourth proportional to 32,620.08, 48,900.78 and 11,829 is: 17,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,620.08 : 48,900.78 = 11,829 : x
  2. Step 2: Convert to fraction form
    32,620.08/48,900.78 = 11,829/x
  3. Step 3: Cross multiply
    32,620.08x = 48,900.78 × 11,829
  4. Step 4: Simplify right side
    32,620.08x = 578,447,326.62
  5. Step 5: Solve for x
    x = 578,447,326.62/32,620.08
  6. Step 6: Final answer
    x = 17,732.86

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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.