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Finding the Fourth Proportional to 43,374.56, 65,083.68 and 17,098.16

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Solution

The fourth proportional to 43,374.56, 65,083.68 and 17,098.16 is: 25,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,374.56 : 65,083.68 = 17,098.16 : x
  2. Step 2: Convert to fraction form
    43,374.56/65,083.68 = 17,098.16/x
  3. Step 3: Cross multiply
    43,374.56x = 65,083.68 × 17,098.16
  4. Step 4: Simplify right side
    43,374.56x = 1,112,811,174.03
  5. Step 5: Solve for x
    x = 1,112,811,174.03/43,374.56
  6. Step 6: Final answer
    x = 25,655.85

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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.