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Finding the Fourth Proportional to 33,187.12, 49,779.06 and 12,409

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Solution

The fourth proportional to 33,187.12, 49,779.06 and 12,409 is: 18,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.12 : 49,779.06 = 12,409 : x
  2. Step 2: Convert to fraction form
    33,187.12/49,779.06 = 12,409/x
  3. Step 3: Cross multiply
    33,187.12x = 49,779.06 × 12,409
  4. Step 4: Simplify right side
    33,187.12x = 617,708,355.54
  5. Step 5: Solve for x
    x = 617,708,355.54/33,187.12
  6. Step 6: Final answer
    x = 18,612.89

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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.