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Finding the Fourth Proportional to 30,661.74, 42,313.32 and 17,233.56

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Solution

The fourth proportional to 30,661.74, 42,313.32 and 17,233.56 is: 23,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.74 : 42,313.32 = 17,233.56 : x
  2. Step 2: Convert to fraction form
    30,661.74/42,313.32 = 17,233.56/x
  3. Step 3: Cross multiply
    30,661.74x = 42,313.32 × 17,233.56
  4. Step 4: Simplify right side
    30,661.74x = 729,209,139.02
  5. Step 5: Solve for x
    x = 729,209,139.02/30,661.74
  6. Step 6: Final answer
    x = 23,782.38

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Why These Related Problems?

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