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Finding the Fourth Proportional to 32,016.85, 48,021.50 and 8,645.11

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Solution

The fourth proportional to 32,016.85, 48,021.50 and 8,645.11 is: 12,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.85 : 48,021.50 = 8,645.11 : x
  2. Step 2: Convert to fraction form
    32,016.85/48,021.50 = 8,645.11/x
  3. Step 3: Cross multiply
    32,016.85x = 48,021.50 × 8,645.11
  4. Step 4: Simplify right side
    32,016.85x = 415,151,106.64
  5. Step 5: Solve for x
    x = 415,151,106.64/32,016.85
  6. Step 6: Final answer
    x = 12,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.