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Finding the Fourth Proportional to 73,829.61, 110,745.98 and 26,447.78

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Solution

The fourth proportional to 73,829.61, 110,745.98 and 26,447.78 is: 39,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,829.61 : 110,745.98 = 26,447.78 : x
  2. Step 2: Convert to fraction form
    73,829.61/110,745.98 = 26,447.78/x
  3. Step 3: Cross multiply
    73,829.61x = 110,745.98 × 26,447.78
  4. Step 4: Simplify right side
    73,829.61x = 2,928,985,707.50
  5. Step 5: Solve for x
    x = 2,928,985,707.50/73,829.61
  6. Step 6: Final answer
    x = 39,672.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.