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Finding the Fourth Proportional to 47,406.16, 65,418.74 and 26,184.97

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Solution

The fourth proportional to 47,406.16, 65,418.74 and 26,184.97 is: 36,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406.16 : 65,418.74 = 26,184.97 : x
  2. Step 2: Convert to fraction form
    47,406.16/65,418.74 = 26,184.97/x
  3. Step 3: Cross multiply
    47,406.16x = 65,418.74 × 26,184.97
  4. Step 4: Simplify right side
    47,406.16x = 1,712,987,793.38
  5. Step 5: Solve for x
    x = 1,712,987,793.38/47,406.16
  6. Step 6: Final answer
    x = 36,134.29

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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.