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Finding the Fourth Proportional to 76,125.69, 105,041.85 and 43,420.38

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Solution

The fourth proportional to 76,125.69, 105,041.85 and 43,420.38 is: 59,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,125.69 : 105,041.85 = 43,420.38 : x
  2. Step 2: Convert to fraction form
    76,125.69/105,041.85 = 43,420.38/x
  3. Step 3: Cross multiply
    76,125.69x = 105,041.85 × 43,420.38
  4. Step 4: Simplify right side
    76,125.69x = 4,560,957,042.90
  5. Step 5: Solve for x
    x = 4,560,957,042.90/76,125.69
  6. Step 6: Final answer
    x = 59,913.51

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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.