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Finding the Fourth Proportional to 76,149.97, 105,114.57 and 44,318.87

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Solution

The fourth proportional to 76,149.97, 105,114.57 and 44,318.87 is: 61,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149.97 : 105,114.57 = 44,318.87 : x
  2. Step 2: Convert to fraction form
    76,149.97/105,114.57 = 44,318.87/x
  3. Step 3: Cross multiply
    76,149.97x = 105,114.57 × 44,318.87
  4. Step 4: Simplify right side
    76,149.97x = 4,658,558,992.14
  5. Step 5: Solve for x
    x = 4,658,558,992.14/76,149.97
  6. Step 6: Final answer
    x = 61,176.11

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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.