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Finding the Fourth Proportional to 43,673.14, 65,509.72 and 34,866.82

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Solution

The fourth proportional to 43,673.14, 65,509.72 and 34,866.82 is: 52,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,673.14 : 65,509.72 = 34,866.82 : x
  2. Step 2: Convert to fraction form
    43,673.14/65,509.72 = 34,866.82/x
  3. Step 3: Cross multiply
    43,673.14x = 65,509.72 × 34,866.82
  4. Step 4: Simplify right side
    43,673.14x = 2,284,115,610.21
  5. Step 5: Solve for x
    x = 2,284,115,610.21/43,673.14
  6. Step 6: Final answer
    x = 52,300.24

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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.