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Finding the Fourth Proportional to 30,507.23, 42,099.65 and 17,078.59

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Solution

The fourth proportional to 30,507.23, 42,099.65 and 17,078.59 is: 23,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.23 : 42,099.65 = 17,078.59 : x
  2. Step 2: Convert to fraction form
    30,507.23/42,099.65 = 17,078.59/x
  3. Step 3: Cross multiply
    30,507.23x = 42,099.65 × 17,078.59
  4. Step 4: Simplify right side
    30,507.23x = 719,002,470.85
  5. Step 5: Solve for x
    x = 719,002,470.85/30,507.23
  6. Step 6: Final answer
    x = 23,568.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.