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Finding the Fourth Proportional to 32,213.99, 48,324.29 and 11,154

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Solution

The fourth proportional to 32,213.99, 48,324.29 and 11,154 is: 16,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.99 : 48,324.29 = 11,154 : x
  2. Step 2: Convert to fraction form
    32,213.99/48,324.29 = 11,154/x
  3. Step 3: Cross multiply
    32,213.99x = 48,324.29 × 11,154
  4. Step 4: Simplify right side
    32,213.99x = 539,009,130.66
  5. Step 5: Solve for x
    x = 539,009,130.66/32,213.99
  6. Step 6: Final answer
    x = 16,732.14

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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.