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Finding the Fourth Proportional to 72,732.51, 109,098.79 and 20,142

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Solution

The fourth proportional to 72,732.51, 109,098.79 and 20,142 is: 30,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,732.51 : 109,098.79 = 20,142 : x
  2. Step 2: Convert to fraction form
    72,732.51/109,098.79 = 20,142/x
  3. Step 3: Cross multiply
    72,732.51x = 109,098.79 × 20,142
  4. Step 4: Simplify right side
    72,732.51x = 2,197,467,777.83
  5. Step 5: Solve for x
    x = 2,197,467,777.83/72,732.51
  6. Step 6: Final answer
    x = 30,213.01

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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.