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Finding the Fourth Proportional to 41,762.61, 62,530.92 and 30,584.61

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Solution

The fourth proportional to 41,762.61, 62,530.92 and 30,584.61 is: 45,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.61 : 62,530.92 = 30,584.61 : x
  2. Step 2: Convert to fraction form
    41,762.61/62,530.92 = 30,584.61/x
  3. Step 3: Cross multiply
    41,762.61x = 62,530.92 × 30,584.61
  4. Step 4: Simplify right side
    41,762.61x = 1,912,483,801.14
  5. Step 5: Solve for x
    x = 1,912,483,801.14/41,762.61
  6. Step 6: Final answer
    x = 45,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.