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Finding the Fourth Proportional to 32,622, 45,018.36 and 17,718

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Solution

The fourth proportional to 32,622, 45,018.36 and 17,718 is: 24,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622 : 45,018.36 = 17,718 : x
  2. Step 2: Convert to fraction form
    32,622/45,018.36 = 17,718/x
  3. Step 3: Cross multiply
    32,622x = 45,018.36 × 17,718
  4. Step 4: Simplify right side
    32,622x = 797,635,302.48
  5. Step 5: Solve for x
    x = 797,635,302.48/32,622
  6. Step 6: Final answer
    x = 24,450.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.