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Finding the Fourth Proportional to 75,196.95, 103,771.77 and 44,983.54

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Solution

The fourth proportional to 75,196.95, 103,771.77 and 44,983.54 is: 62,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196.95 : 103,771.77 = 44,983.54 : x
  2. Step 2: Convert to fraction form
    75,196.95/103,771.77 = 44,983.54/x
  3. Step 3: Cross multiply
    75,196.95x = 103,771.77 × 44,983.54
  4. Step 4: Simplify right side
    75,196.95x = 4,668,021,566.67
  5. Step 5: Solve for x
    x = 4,668,021,566.67/75,196.95
  6. Step 6: Final answer
    x = 62,077.27

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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.