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Finding the Fourth Proportional to 107,058.96, 160,537.77 and 39,568.86

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Solution

The fourth proportional to 107,058.96, 160,537.77 and 39,568.86 is: 59,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,058.96 : 160,537.77 = 39,568.86 : x
  2. Step 2: Convert to fraction form
    107,058.96/160,537.77 = 39,568.86/x
  3. Step 3: Cross multiply
    107,058.96x = 160,537.77 × 39,568.86
  4. Step 4: Simplify right side
    107,058.96x = 6,352,296,545.84
  5. Step 5: Solve for x
    x = 6,352,296,545.84/107,058.96
  6. Step 6: Final answer
    x = 59,334.56

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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.