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Finding the Fourth Proportional to 47,643.39, 65,745.68 and 26,422.20

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Solution

The fourth proportional to 47,643.39, 65,745.68 and 26,422.20 is: 36,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.39 : 65,745.68 = 26,422.20 : x
  2. Step 2: Convert to fraction form
    47,643.39/65,745.68 = 26,422.20/x
  3. Step 3: Cross multiply
    47,643.39x = 65,745.68 × 26,422.20
  4. Step 4: Simplify right side
    47,643.39x = 1,737,145,373.99
  5. Step 5: Solve for x
    x = 1,737,145,373.99/47,643.39
  6. Step 6: Final answer
    x = 36,461.41

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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.