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Finding the Fourth Proportional to 76,354.65, 114,490.97 and 26,419.97

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Solution

The fourth proportional to 76,354.65, 114,490.97 and 26,419.97 is: 39,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.65 : 114,490.97 = 26,419.97 : x
  2. Step 2: Convert to fraction form
    76,354.65/114,490.97 = 26,419.97/x
  3. Step 3: Cross multiply
    76,354.65x = 114,490.97 × 26,419.97
  4. Step 4: Simplify right side
    76,354.65x = 3,024,848,245.87
  5. Step 5: Solve for x
    x = 3,024,848,245.87/76,354.65
  6. Step 6: Final answer
    x = 39,615.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.