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Finding the Fourth Proportional to 77,006.54, 106,268.75 and 44,745.86

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Solution

The fourth proportional to 77,006.54, 106,268.75 and 44,745.86 is: 61,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006.54 : 106,268.75 = 44,745.86 : x
  2. Step 2: Convert to fraction form
    77,006.54/106,268.75 = 44,745.86/x
  3. Step 3: Cross multiply
    77,006.54x = 106,268.75 × 44,745.86
  4. Step 4: Simplify right side
    77,006.54x = 4,755,085,854.80
  5. Step 5: Solve for x
    x = 4,755,085,854.80/77,006.54
  6. Step 6: Final answer
    x = 61,749.12

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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.