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Finding the Fourth Proportional to 47,568, 65,643.84 and 26,348.63

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Solution

The fourth proportional to 47,568, 65,643.84 and 26,348.63 is: 36,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,568 : 65,643.84 = 26,348.63 : x
  2. Step 2: Convert to fraction form
    47,568/65,643.84 = 26,348.63/x
  3. Step 3: Cross multiply
    47,568x = 65,643.84 × 26,348.63
  4. Step 4: Simplify right side
    47,568x = 1,729,625,416.05
  5. Step 5: Solve for x
    x = 1,729,625,416.05/47,568
  6. Step 6: Final answer
    x = 36,361.11

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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.