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Finding the Fourth Proportional to 43,782.92, 65,675.84 and 14,201

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Solution

The fourth proportional to 43,782.92, 65,675.84 and 14,201 is: 21,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.92 : 65,675.84 = 14,201 : x
  2. Step 2: Convert to fraction form
    43,782.92/65,675.84 = 14,201/x
  3. Step 3: Cross multiply
    43,782.92x = 65,675.84 × 14,201
  4. Step 4: Simplify right side
    43,782.92x = 932,662,603.84
  5. Step 5: Solve for x
    x = 932,662,603.84/43,782.92
  6. Step 6: Final answer
    x = 21,301.97

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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.