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Finding the Fourth Proportional to 57,113.54, 85,674.64 and 17,674.64

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Solution

The fourth proportional to 57,113.54, 85,674.64 and 17,674.64 is: 26,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.54 : 85,674.64 = 17,674.64 : x
  2. Step 2: Convert to fraction form
    57,113.54/85,674.64 = 17,674.64/x
  3. Step 3: Cross multiply
    57,113.54x = 85,674.64 × 17,674.64
  4. Step 4: Simplify right side
    57,113.54x = 1,514,268,419.13
  5. Step 5: Solve for x
    x = 1,514,268,419.13/57,113.54
  6. Step 6: Final answer
    x = 26,513.30

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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.