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Finding the Fourth Proportional to 32,664, 45,076.38 and 18,518.16

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Solution

The fourth proportional to 32,664, 45,076.38 and 18,518.16 is: 25,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,664 : 45,076.38 = 18,518.16 : x
  2. Step 2: Convert to fraction form
    32,664/45,076.38 = 18,518.16/x
  3. Step 3: Cross multiply
    32,664x = 45,076.38 × 18,518.16
  4. Step 4: Simplify right side
    32,664x = 834,731,617.06
  5. Step 5: Solve for x
    x = 834,731,617.06/32,664
  6. Step 6: Final answer
    x = 25,555.09

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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.