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Finding the Fourth Proportional to 32,152.80, 48,228.12 and 12,435.52

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Solution

The fourth proportional to 32,152.80, 48,228.12 and 12,435.52 is: 18,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.80 : 48,228.12 = 12,435.52 : x
  2. Step 2: Convert to fraction form
    32,152.80/48,228.12 = 12,435.52/x
  3. Step 3: Cross multiply
    32,152.80x = 48,228.12 × 12,435.52
  4. Step 4: Simplify right side
    32,152.80x = 599,741,750.82
  5. Step 5: Solve for x
    x = 599,741,750.82/32,152.80
  6. Step 6: Final answer
    x = 18,652.86

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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.