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Finding the Fourth Proportional to 29,854.92, 44,782.82 and 7,667.80

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Solution

The fourth proportional to 29,854.92, 44,782.82 and 7,667.80 is: 11,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.92 : 44,782.82 = 7,667.80 : x
  2. Step 2: Convert to fraction form
    29,854.92/44,782.82 = 7,667.80/x
  3. Step 3: Cross multiply
    29,854.92x = 44,782.82 × 7,667.80
  4. Step 4: Simplify right side
    29,854.92x = 343,385,690.04
  5. Step 5: Solve for x
    x = 343,385,690.04/29,854.92
  6. Step 6: Final answer
    x = 11,501.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.