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Finding the Fourth Proportional to 32,555.46, 48,840.57 and 11,778.96

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Solution

The fourth proportional to 32,555.46, 48,840.57 and 11,778.96 is: 17,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,555.46 : 48,840.57 = 11,778.96 : x
  2. Step 2: Convert to fraction form
    32,555.46/48,840.57 = 11,778.96/x
  3. Step 3: Cross multiply
    32,555.46x = 48,840.57 × 11,778.96
  4. Step 4: Simplify right side
    32,555.46x = 575,291,120.41
  5. Step 5: Solve for x
    x = 575,291,120.41/32,555.46
  6. Step 6: Final answer
    x = 17,671.11

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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.