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Finding the Fourth Proportional to 76,387.84, 114,587.91 and 29,025.61

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Solution

The fourth proportional to 76,387.84, 114,587.91 and 29,025.61 is: 43,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,387.84 : 114,587.91 = 29,025.61 : x
  2. Step 2: Convert to fraction form
    76,387.84/114,587.91 = 29,025.61/x
  3. Step 3: Cross multiply
    76,387.84x = 114,587.91 × 29,025.61
  4. Step 4: Simplify right side
    76,387.84x = 3,325,983,986.38
  5. Step 5: Solve for x
    x = 3,325,983,986.38/76,387.84
  6. Step 6: Final answer
    x = 43,540.75

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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.