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Finding the Fourth Proportional to 76,693.18, 105,829.05 and 44,855.86

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Solution

The fourth proportional to 76,693.18, 105,829.05 and 44,855.86 is: 61,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.18 : 105,829.05 = 44,855.86 : x
  2. Step 2: Convert to fraction form
    76,693.18/105,829.05 = 44,855.86/x
  3. Step 3: Cross multiply
    76,693.18x = 105,829.05 × 44,855.86
  4. Step 4: Simplify right side
    76,693.18x = 4,747,053,050.73
  5. Step 5: Solve for x
    x = 4,747,053,050.73/76,693.18
  6. Step 6: Final answer
    x = 61,896.68

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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.