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Finding the Fourth Proportional to 57,703.56, 86,565.87 and 26,538

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Solution

The fourth proportional to 57,703.56, 86,565.87 and 26,538 is: 39,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703.56 : 86,565.87 = 26,538 : x
  2. Step 2: Convert to fraction form
    57,703.56/86,565.87 = 26,538/x
  3. Step 3: Cross multiply
    57,703.56x = 86,565.87 × 26,538
  4. Step 4: Simplify right side
    57,703.56x = 2,297,285,058.06
  5. Step 5: Solve for x
    x = 2,297,285,058.06/57,703.56
  6. Step 6: Final answer
    x = 39,811.84

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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.