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Finding the Fourth Proportional to 76,709.58, 105,825.15 and 44,864.43

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Solution

The fourth proportional to 76,709.58, 105,825.15 and 44,864.43 is: 61,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.58 : 105,825.15 = 44,864.43 : x
  2. Step 2: Convert to fraction form
    76,709.58/105,825.15 = 44,864.43/x
  3. Step 3: Cross multiply
    76,709.58x = 105,825.15 × 44,864.43
  4. Step 4: Simplify right side
    76,709.58x = 4,747,785,034.41
  5. Step 5: Solve for x
    x = 4,747,785,034.41/76,709.58
  6. Step 6: Final answer
    x = 61,892.99

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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.