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Finding the Fourth Proportional to 32,779.75, 49,169.76 and 12,003.25

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Solution

The fourth proportional to 32,779.75, 49,169.76 and 12,003.25 is: 18,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779.75 : 49,169.76 = 12,003.25 : x
  2. Step 2: Convert to fraction form
    32,779.75/49,169.76 = 12,003.25/x
  3. Step 3: Cross multiply
    32,779.75x = 49,169.76 × 12,003.25
  4. Step 4: Simplify right side
    32,779.75x = 590,196,921.72
  5. Step 5: Solve for x
    x = 590,196,921.72/32,779.75
  6. Step 6: Final answer
    x = 18,004.92

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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.