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Finding the Fourth Proportional to 54,743.16, 82,114.74 and 13,190.16

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Solution

The fourth proportional to 54,743.16, 82,114.74 and 13,190.16 is: 19,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,743.16 : 82,114.74 = 13,190.16 : x
  2. Step 2: Convert to fraction form
    54,743.16/82,114.74 = 13,190.16/x
  3. Step 3: Cross multiply
    54,743.16x = 82,114.74 × 13,190.16
  4. Step 4: Simplify right side
    54,743.16x = 1,083,106,558.96
  5. Step 5: Solve for x
    x = 1,083,106,558.96/54,743.16
  6. Step 6: Final answer
    x = 19,785.24

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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.