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Finding the Fourth Proportional to 76,682.18, 105,813.86 and 44,844.86

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Solution

The fourth proportional to 76,682.18, 105,813.86 and 44,844.86 is: 61,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.18 : 105,813.86 = 44,844.86 : x
  2. Step 2: Convert to fraction form
    76,682.18/105,813.86 = 44,844.86/x
  3. Step 3: Cross multiply
    76,682.18x = 105,813.86 × 44,844.86
  4. Step 4: Simplify right side
    76,682.18x = 4,745,207,737.76
  5. Step 5: Solve for x
    x = 4,745,207,737.76/76,682.18
  6. Step 6: Final answer
    x = 61,881.49

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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.