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Finding the Fourth Proportional to 76,647.72, 114,934.56 and 26,726.64

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Solution

The fourth proportional to 76,647.72, 114,934.56 and 26,726.64 is: 40,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647.72 : 114,934.56 = 26,726.64 : x
  2. Step 2: Convert to fraction form
    76,647.72/114,934.56 = 26,726.64/x
  3. Step 3: Cross multiply
    76,647.72x = 114,934.56 × 26,726.64
  4. Step 4: Simplify right side
    76,647.72x = 3,071,814,608.68
  5. Step 5: Solve for x
    x = 3,071,814,608.68/76,647.72
  6. Step 6: Final answer
    x = 40,077.05

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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.