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Finding the Fourth Proportional to 47,292.85, 65,262.15 and 25,782.13

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Solution

The fourth proportional to 47,292.85, 65,262.15 and 25,782.13 is: 35,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292.85 : 65,262.15 = 25,782.13 : x
  2. Step 2: Convert to fraction form
    47,292.85/65,262.15 = 25,782.13/x
  3. Step 3: Cross multiply
    47,292.85x = 65,262.15 × 25,782.13
  4. Step 4: Simplify right side
    47,292.85x = 1,682,597,235.38
  5. Step 5: Solve for x
    x = 1,682,597,235.38/47,292.85
  6. Step 6: Final answer
    x = 35,578.26

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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.