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Finding the Fourth Proportional to 76,566.96, 105,662.75 and 44,729.10

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Solution

The fourth proportional to 76,566.96, 105,662.75 and 44,729.10 is: 61,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566.96 : 105,662.75 = 44,729.10 : x
  2. Step 2: Convert to fraction form
    76,566.96/105,662.75 = 44,729.10/x
  3. Step 3: Cross multiply
    76,566.96x = 105,662.75 × 44,729.10
  4. Step 4: Simplify right side
    76,566.96x = 4,726,199,487.38
  5. Step 5: Solve for x
    x = 4,726,199,487.38/76,566.96
  6. Step 6: Final answer
    x = 61,726.36

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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.