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Finding the Fourth Proportional to 32,004.85, 48,021.10 and 12,278.79

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Solution

The fourth proportional to 32,004.85, 48,021.10 and 12,278.79 is: 18,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.85 : 48,021.10 = 12,278.79 : x
  2. Step 2: Convert to fraction form
    32,004.85/48,021.10 = 12,278.79/x
  3. Step 3: Cross multiply
    32,004.85x = 48,021.10 × 12,278.79
  4. Step 4: Simplify right side
    32,004.85x = 589,641,040.84
  5. Step 5: Solve for x
    x = 589,641,040.84/32,004.85
  6. Step 6: Final answer
    x = 18,423.49

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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.