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Finding the Fourth Proportional to 76,697.65, 115,051.72 and 26,076.07

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Solution

The fourth proportional to 76,697.65, 115,051.72 and 26,076.07 is: 39,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697.65 : 115,051.72 = 26,076.07 : x
  2. Step 2: Convert to fraction form
    76,697.65/115,051.72 = 26,076.07/x
  3. Step 3: Cross multiply
    76,697.65x = 115,051.72 × 26,076.07
  4. Step 4: Simplify right side
    76,697.65x = 3,000,096,434.94
  5. Step 5: Solve for x
    x = 3,000,096,434.94/76,697.65
  6. Step 6: Final answer
    x = 39,115.88

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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.