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Finding the Fourth Proportional to 32,709.85, 49,064.96 and 11,650.71

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Solution

The fourth proportional to 32,709.85, 49,064.96 and 11,650.71 is: 17,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.85 : 49,064.96 = 11,650.71 : x
  2. Step 2: Convert to fraction form
    32,709.85/49,064.96 = 11,650.71/x
  3. Step 3: Cross multiply
    32,709.85x = 49,064.96 × 11,650.71
  4. Step 4: Simplify right side
    32,709.85x = 571,641,620.12
  5. Step 5: Solve for x
    x = 571,641,620.12/32,709.85
  6. Step 6: Final answer
    x = 17,476.13

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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.