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Finding the Fourth Proportional to 65,831, 90,846.84 and 36,023

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Solution

The fourth proportional to 65,831, 90,846.84 and 36,023 is: 49,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831 : 90,846.84 = 36,023 : x
  2. Step 2: Convert to fraction form
    65,831/90,846.84 = 36,023/x
  3. Step 3: Cross multiply
    65,831x = 90,846.84 × 36,023
  4. Step 4: Simplify right side
    65,831x = 3,272,575,717.32
  5. Step 5: Solve for x
    x = 3,272,575,717.32/65,831
  6. Step 6: Final answer
    x = 49,711.77

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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.