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Finding the Fourth Proportional to 32,141.33, 48,187.02 and 12,150.50

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Solution

The fourth proportional to 32,141.33, 48,187.02 and 12,150.50 is: 18,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.33 : 48,187.02 = 12,150.50 : x
  2. Step 2: Convert to fraction form
    32,141.33/48,187.02 = 12,150.50/x
  3. Step 3: Cross multiply
    32,141.33x = 48,187.02 × 12,150.50
  4. Step 4: Simplify right side
    32,141.33x = 585,496,205.29
  5. Step 5: Solve for x
    x = 585,496,205.29/32,141.33
  6. Step 6: Final answer
    x = 18,216.30

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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.