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Finding the Fourth Proportional to 30,243.12, 41,735.52 and 17,498.04

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Solution

The fourth proportional to 30,243.12, 41,735.52 and 17,498.04 is: 24,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243.12 : 41,735.52 = 17,498.04 : x
  2. Step 2: Convert to fraction form
    30,243.12/41,735.52 = 17,498.04/x
  3. Step 3: Cross multiply
    30,243.12x = 41,735.52 × 17,498.04
  4. Step 4: Simplify right side
    30,243.12x = 730,289,798.38
  5. Step 5: Solve for x
    x = 730,289,798.38/30,243.12
  6. Step 6: Final answer
    x = 24,147.30

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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.