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Finding the Fourth Proportional to 57,712.89, 86,582.10 and 17,737.44

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Solution

The fourth proportional to 57,712.89, 86,582.10 and 17,737.44 is: 26,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712.89 : 86,582.10 = 17,737.44 : x
  2. Step 2: Convert to fraction form
    57,712.89/86,582.10 = 17,737.44/x
  3. Step 3: Cross multiply
    57,712.89x = 86,582.10 × 17,737.44
  4. Step 4: Simplify right side
    57,712.89x = 1,535,744,803.82
  5. Step 5: Solve for x
    x = 1,535,744,803.82/57,712.89
  6. Step 6: Final answer
    x = 26,610.08

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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.