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Finding the Fourth Proportional to 30,148.74, 41,517.54 and 28,223.31

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Solution

The fourth proportional to 30,148.74, 41,517.54 and 28,223.31 is: 38,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.74 : 41,517.54 = 28,223.31 : x
  2. Step 2: Convert to fraction form
    30,148.74/41,517.54 = 28,223.31/x
  3. Step 3: Cross multiply
    30,148.74x = 41,517.54 × 28,223.31
  4. Step 4: Simplify right side
    30,148.74x = 1,171,762,401.86
  5. Step 5: Solve for x
    x = 1,171,762,401.86/30,148.74
  6. Step 6: Final answer
    x = 38,866.05

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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.