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Finding the Fourth Proportional to 32,004.30, 47,992.05 and 12,276.30

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Solution

The fourth proportional to 32,004.30, 47,992.05 and 12,276.30 is: 18,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.30 : 47,992.05 = 12,276.30 : x
  2. Step 2: Convert to fraction form
    32,004.30/47,992.05 = 12,276.30/x
  3. Step 3: Cross multiply
    32,004.30x = 47,992.05 × 12,276.30
  4. Step 4: Simplify right side
    32,004.30x = 589,164,803.42
  5. Step 5: Solve for x
    x = 589,164,803.42/32,004.30
  6. Step 6: Final answer
    x = 18,408.93

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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.