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Finding the Fourth Proportional to 57,192.48, 85,788.72 and 17,739

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Solution

The fourth proportional to 57,192.48, 85,788.72 and 17,739 is: 26,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,192.48 : 85,788.72 = 17,739 : x
  2. Step 2: Convert to fraction form
    57,192.48/85,788.72 = 17,739/x
  3. Step 3: Cross multiply
    57,192.48x = 85,788.72 × 17,739
  4. Step 4: Simplify right side
    57,192.48x = 1,521,806,104.08
  5. Step 5: Solve for x
    x = 1,521,806,104.08/57,192.48
  6. Step 6: Final answer
    x = 26,608.50

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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.