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Finding the Fourth Proportional to 57,094.49, 85,645.85 and 17,646.48

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Solution

The fourth proportional to 57,094.49, 85,645.85 and 17,646.48 is: 26,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094.49 : 85,645.85 = 17,646.48 : x
  2. Step 2: Convert to fraction form
    57,094.49/85,645.85 = 17,646.48/x
  3. Step 3: Cross multiply
    57,094.49x = 85,645.85 × 17,646.48
  4. Step 4: Simplify right side
    57,094.49x = 1,511,347,690.88
  5. Step 5: Solve for x
    x = 1,511,347,690.88/57,094.49
  6. Step 6: Final answer
    x = 26,470.99

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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.