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Finding the Fourth Proportional to 76,677.63, 105,821.60 and 43,150.11

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Solution

The fourth proportional to 76,677.63, 105,821.60 and 43,150.11 is: 59,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.63 : 105,821.60 = 43,150.11 : x
  2. Step 2: Convert to fraction form
    76,677.63/105,821.60 = 43,150.11/x
  3. Step 3: Cross multiply
    76,677.63x = 105,821.60 × 43,150.11
  4. Step 4: Simplify right side
    76,677.63x = 4,566,213,680.38
  5. Step 5: Solve for x
    x = 4,566,213,680.38/76,677.63
  6. Step 6: Final answer
    x = 59,550.79

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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.