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Finding the Fourth Proportional to 54,967, 82,395.12 and 21,674.16

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Solution

The fourth proportional to 54,967, 82,395.12 and 21,674.16 is: 32,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967 : 82,395.12 = 21,674.16 : x
  2. Step 2: Convert to fraction form
    54,967/82,395.12 = 21,674.16/x
  3. Step 3: Cross multiply
    54,967x = 82,395.12 × 21,674.16
  4. Step 4: Simplify right side
    54,967x = 1,785,845,014.10
  5. Step 5: Solve for x
    x = 1,785,845,014.10/54,967
  6. Step 6: Final answer
    x = 32,489.40

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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.