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Finding the Fourth Proportional to 76,687.86, 105,829.11 and 44,850.18

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Solution

The fourth proportional to 76,687.86, 105,829.11 and 44,850.18 is: 61,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.86 : 105,829.11 = 44,850.18 : x
  2. Step 2: Convert to fraction form
    76,687.86/105,829.11 = 44,850.18/x
  3. Step 3: Cross multiply
    76,687.86x = 105,829.11 × 44,850.18
  4. Step 4: Simplify right side
    76,687.86x = 4,746,454,632.74
  5. Step 5: Solve for x
    x = 4,746,454,632.74/76,687.86
  6. Step 6: Final answer
    x = 61,893.17

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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.