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Finding the Fourth Proportional to 30,329.28, 41,858.04 and 17,754

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Solution

The fourth proportional to 30,329.28, 41,858.04 and 17,754 is: 24,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.28 : 41,858.04 = 17,754 : x
  2. Step 2: Convert to fraction form
    30,329.28/41,858.04 = 17,754/x
  3. Step 3: Cross multiply
    30,329.28x = 41,858.04 × 17,754
  4. Step 4: Simplify right side
    30,329.28x = 743,147,642.16
  5. Step 5: Solve for x
    x = 743,147,642.16/30,329.28
  6. Step 6: Final answer
    x = 24,502.65

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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.