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Finding the Fourth Proportional to 54,096, 74,665.68 and 32,889.36

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Solution

The fourth proportional to 54,096, 74,665.68 and 32,889.36 is: 45,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096 : 74,665.68 = 32,889.36 : x
  2. Step 2: Convert to fraction form
    54,096/74,665.68 = 32,889.36/x
  3. Step 3: Cross multiply
    54,096x = 74,665.68 × 32,889.36
  4. Step 4: Simplify right side
    54,096x = 2,455,706,429.16
  5. Step 5: Solve for x
    x = 2,455,706,429.16/54,096
  6. Step 6: Final answer
    x = 45,395.34

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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.