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Finding the Fourth Proportional to 47,643.80, 65,745.47 and 26,422.61

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Solution

The fourth proportional to 47,643.80, 65,745.47 and 26,422.61 is: 36,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.80 : 65,745.47 = 26,422.61 : x
  2. Step 2: Convert to fraction form
    47,643.80/65,745.47 = 26,422.61/x
  3. Step 3: Cross multiply
    47,643.80x = 65,745.47 × 26,422.61
  4. Step 4: Simplify right side
    47,643.80x = 1,737,166,650.41
  5. Step 5: Solve for x
    x = 1,737,166,650.41/47,643.80
  6. Step 6: Final answer
    x = 36,461.55

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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.