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Finding the Fourth Proportional to 33,187.62, 49,779.81 and 12,409.50

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Solution

The fourth proportional to 33,187.62, 49,779.81 and 12,409.50 is: 18,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.62 : 49,779.81 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    33,187.62/49,779.81 = 12,409.50/x
  3. Step 3: Cross multiply
    33,187.62x = 49,779.81 × 12,409.50
  4. Step 4: Simplify right side
    33,187.62x = 617,742,552.20
  5. Step 5: Solve for x
    x = 617,742,552.20/33,187.62
  6. Step 6: Final answer
    x = 18,613.64

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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.