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Finding the Fourth Proportional to 76,552.38, 105,636.87 and 43,023.42

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Solution

The fourth proportional to 76,552.38, 105,636.87 and 43,023.42 is: 59,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,552.38 : 105,636.87 = 43,023.42 : x
  2. Step 2: Convert to fraction form
    76,552.38/105,636.87 = 43,023.42/x
  3. Step 3: Cross multiply
    76,552.38x = 105,636.87 × 43,023.42
  4. Step 4: Simplify right side
    76,552.38x = 4,544,859,425.50
  5. Step 5: Solve for x
    x = 4,544,859,425.50/76,552.38
  6. Step 6: Final answer
    x = 59,369.28

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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.