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Finding the Fourth Proportional to 32,896.72, 49,349.94 and 9,520.12

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Solution

The fourth proportional to 32,896.72, 49,349.94 and 9,520.12 is: 14,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.72 : 49,349.94 = 9,520.12 : x
  2. Step 2: Convert to fraction form
    32,896.72/49,349.94 = 9,520.12/x
  3. Step 3: Cross multiply
    32,896.72x = 49,349.94 × 9,520.12
  4. Step 4: Simplify right side
    32,896.72x = 469,817,350.79
  5. Step 5: Solve for x
    x = 469,817,350.79/32,896.72
  6. Step 6: Final answer
    x = 14,281.59

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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.