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Finding the Fourth Proportional to 30,145.58, 41,592.42 and 17,567.90

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Solution

The fourth proportional to 30,145.58, 41,592.42 and 17,567.90 is: 24,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.58 : 41,592.42 = 17,567.90 : x
  2. Step 2: Convert to fraction form
    30,145.58/41,592.42 = 17,567.90/x
  3. Step 3: Cross multiply
    30,145.58x = 41,592.42 × 17,567.90
  4. Step 4: Simplify right side
    30,145.58x = 730,691,475.32
  5. Step 5: Solve for x
    x = 730,691,475.32/30,145.58
  6. Step 6: Final answer
    x = 24,238.76

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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.