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Finding the Fourth Proportional to 32,102.41, 48,141.22 and 11,038.47

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Solution

The fourth proportional to 32,102.41, 48,141.22 and 11,038.47 is: 16,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.41 : 48,141.22 = 11,038.47 : x
  2. Step 2: Convert to fraction form
    32,102.41/48,141.22 = 11,038.47/x
  3. Step 3: Cross multiply
    32,102.41x = 48,141.22 × 11,038.47
  4. Step 4: Simplify right side
    32,102.41x = 531,405,412.73
  5. Step 5: Solve for x
    x = 531,405,412.73/32,102.41
  6. Step 6: Final answer
    x = 16,553.44

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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.