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Finding the Fourth Proportional to 57,830.82, 86,746.26 and 16,277.82

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Solution

The fourth proportional to 57,830.82, 86,746.26 and 16,277.82 is: 24,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.82 : 86,746.26 = 16,277.82 : x
  2. Step 2: Convert to fraction form
    57,830.82/86,746.26 = 16,277.82/x
  3. Step 3: Cross multiply
    57,830.82x = 86,746.26 × 16,277.82
  4. Step 4: Simplify right side
    57,830.82x = 1,412,040,005.95
  5. Step 5: Solve for x
    x = 1,412,040,005.95/57,830.82
  6. Step 6: Final answer
    x = 24,416.74

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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.