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Finding the Fourth Proportional to 76,797.91, 105,979.29 and 44,538.29

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Solution

The fourth proportional to 76,797.91, 105,979.29 and 44,538.29 is: 61,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.91 : 105,979.29 = 44,538.29 : x
  2. Step 2: Convert to fraction form
    76,797.91/105,979.29 = 44,538.29/x
  3. Step 3: Cross multiply
    76,797.91x = 105,979.29 × 44,538.29
  4. Step 4: Simplify right side
    76,797.91x = 4,720,136,352.01
  5. Step 5: Solve for x
    x = 4,720,136,352.01/76,797.91
  6. Step 6: Final answer
    x = 61,461.78

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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.