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Finding the Fourth Proportional to 32,005.35, 48,009.24 and 12,285.90

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Solution

The fourth proportional to 32,005.35, 48,009.24 and 12,285.90 is: 18,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.35 : 48,009.24 = 12,285.90 : x
  2. Step 2: Convert to fraction form
    32,005.35/48,009.24 = 12,285.90/x
  3. Step 3: Cross multiply
    32,005.35x = 48,009.24 × 12,285.90
  4. Step 4: Simplify right side
    32,005.35x = 589,836,721.72
  5. Step 5: Solve for x
    x = 589,836,721.72/32,005.35
  6. Step 6: Final answer
    x = 18,429.32

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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.