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Finding the Fourth Proportional to 30,735.79, 42,419.43 and 17,309.67

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Solution

The fourth proportional to 30,735.79, 42,419.43 and 17,309.67 is: 23,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.79 : 42,419.43 = 17,309.67 : x
  2. Step 2: Convert to fraction form
    30,735.79/42,419.43 = 17,309.67/x
  3. Step 3: Cross multiply
    30,735.79x = 42,419.43 × 17,309.67
  4. Step 4: Simplify right side
    30,735.79x = 734,266,036.24
  5. Step 5: Solve for x
    x = 734,266,036.24/30,735.79
  6. Step 6: Final answer
    x = 23,889.61

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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.