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Finding the Fourth Proportional to 32,144.34, 48,216.06 and 19,497.11

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Solution

The fourth proportional to 32,144.34, 48,216.06 and 19,497.11 is: 29,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.34 : 48,216.06 = 19,497.11 : x
  2. Step 2: Convert to fraction form
    32,144.34/48,216.06 = 19,497.11/x
  3. Step 3: Cross multiply
    32,144.34x = 48,216.06 × 19,497.11
  4. Step 4: Simplify right side
    32,144.34x = 940,073,584.51
  5. Step 5: Solve for x
    x = 940,073,584.51/32,144.34
  6. Step 6: Final answer
    x = 29,245.38

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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.