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Finding the Fourth Proportional to 76,615.93, 105,742.56 and 44,778.61

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Solution

The fourth proportional to 76,615.93, 105,742.56 and 44,778.61 is: 61,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615.93 : 105,742.56 = 44,778.61 : x
  2. Step 2: Convert to fraction form
    76,615.93/105,742.56 = 44,778.61/x
  3. Step 3: Cross multiply
    76,615.93x = 105,742.56 × 44,778.61
  4. Step 4: Simplify right side
    76,615.93x = 4,735,004,854.64
  5. Step 5: Solve for x
    x = 4,735,004,854.64/76,615.93
  6. Step 6: Final answer
    x = 61,801.83

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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.