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Finding the Fourth Proportional to 76,334.27, 105,341.31 and 42,800.27

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Solution

The fourth proportional to 76,334.27, 105,341.31 and 42,800.27 is: 59,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.27 : 105,341.31 = 42,800.27 : x
  2. Step 2: Convert to fraction form
    76,334.27/105,341.31 = 42,800.27/x
  3. Step 3: Cross multiply
    76,334.27x = 105,341.31 × 42,800.27
  4. Step 4: Simplify right side
    76,334.27x = 4,508,635,983.45
  5. Step 5: Solve for x
    x = 4,508,635,983.45/76,334.27
  6. Step 6: Final answer
    x = 59,064.38

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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.