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Finding the Fourth Proportional to 30,001.62, 41,407.30 and 17,433.66

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Solution

The fourth proportional to 30,001.62, 41,407.30 and 17,433.66 is: 24,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001.62 : 41,407.30 = 17,433.66 : x
  2. Step 2: Convert to fraction form
    30,001.62/41,407.30 = 17,433.66/x
  3. Step 3: Cross multiply
    30,001.62x = 41,407.30 × 17,433.66
  4. Step 4: Simplify right side
    30,001.62x = 721,880,789.72
  5. Step 5: Solve for x
    x = 721,880,789.72/30,001.62
  6. Step 6: Final answer
    x = 24,061.39

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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.