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Finding the Fourth Proportional to 30,513.87, 42,106.73 and 17,082

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Solution

The fourth proportional to 30,513.87, 42,106.73 and 17,082 is: 23,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.87 : 42,106.73 = 17,082 : x
  2. Step 2: Convert to fraction form
    30,513.87/42,106.73 = 17,082/x
  3. Step 3: Cross multiply
    30,513.87x = 42,106.73 × 17,082
  4. Step 4: Simplify right side
    30,513.87x = 719,267,076.45
  5. Step 5: Solve for x
    x = 719,267,076.45/30,513.87
  6. Step 6: Final answer
    x = 23,571.81

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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.