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Finding the Fourth Proportional to 32,947.50, 49,421.84 and 11,889.12

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Solution

The fourth proportional to 32,947.50, 49,421.84 and 11,889.12 is: 17,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.50 : 49,421.84 = 11,889.12 : x
  2. Step 2: Convert to fraction form
    32,947.50/49,421.84 = 11,889.12/x
  3. Step 3: Cross multiply
    32,947.50x = 49,421.84 × 11,889.12
  4. Step 4: Simplify right side
    32,947.50x = 587,581,879.83
  5. Step 5: Solve for x
    x = 587,581,879.83/32,947.50
  6. Step 6: Final answer
    x = 17,833.89

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1.5x scale

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.