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Finding the Fourth Proportional to 76,739.18, 105,902.74 and 44,473.93

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Solution

The fourth proportional to 76,739.18, 105,902.74 and 44,473.93 is: 61,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,739.18 : 105,902.74 = 44,473.93 : x
  2. Step 2: Convert to fraction form
    76,739.18/105,902.74 = 44,473.93/x
  3. Step 3: Cross multiply
    76,739.18x = 105,902.74 × 44,473.93
  4. Step 4: Simplify right side
    76,739.18x = 4,709,910,724.71
  5. Step 5: Solve for x
    x = 4,709,910,724.71/76,739.18
  6. Step 6: Final answer
    x = 61,375.57

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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.