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Finding the Fourth Proportional to 30,145.74, 41,513.40 and 28,220.31

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Solution

The fourth proportional to 30,145.74, 41,513.40 and 28,220.31 is: 38,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.74 : 41,513.40 = 28,220.31 : x
  2. Step 2: Convert to fraction form
    30,145.74/41,513.40 = 28,220.31/x
  3. Step 3: Cross multiply
    30,145.74x = 41,513.40 × 28,220.31
  4. Step 4: Simplify right side
    30,145.74x = 1,171,521,017.15
  5. Step 5: Solve for x
    x = 1,171,521,017.15/30,145.74
  6. Step 6: Final answer
    x = 38,861.91

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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.