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Finding the Fourth Proportional to 76,795.90, 105,978.58 and 44,536.84

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Solution

The fourth proportional to 76,795.90, 105,978.58 and 44,536.84 is: 61,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,795.90 : 105,978.58 = 44,536.84 : x
  2. Step 2: Convert to fraction form
    76,795.90/105,978.58 = 44,536.84/x
  3. Step 3: Cross multiply
    76,795.90x = 105,978.58 × 44,536.84
  4. Step 4: Simplify right side
    76,795.90x = 4,719,950,684.60
  5. Step 5: Solve for x
    x = 4,719,950,684.60/76,795.90
  6. Step 6: Final answer
    x = 61,460.97

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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.