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Finding the Fourth Proportional to 43,842.25, 65,763.74 and 12,677.77

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Solution

The fourth proportional to 43,842.25, 65,763.74 and 12,677.77 is: 19,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842.25 : 65,763.74 = 12,677.77 : x
  2. Step 2: Convert to fraction form
    43,842.25/65,763.74 = 12,677.77/x
  3. Step 3: Cross multiply
    43,842.25x = 65,763.74 × 12,677.77
  4. Step 4: Simplify right side
    43,842.25x = 833,737,570.06
  5. Step 5: Solve for x
    x = 833,737,570.06/43,842.25
  6. Step 6: Final answer
    x = 19,016.76

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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.