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Finding the Fourth Proportional to 76,108.50, 114,214.68 and 26,860.50

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Solution

The fourth proportional to 76,108.50, 114,214.68 and 26,860.50 is: 40,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108.50 : 114,214.68 = 26,860.50 : x
  2. Step 2: Convert to fraction form
    76,108.50/114,214.68 = 26,860.50/x
  3. Step 3: Cross multiply
    76,108.50x = 114,214.68 × 26,860.50
  4. Step 4: Simplify right side
    76,108.50x = 3,067,863,412.14
  5. Step 5: Solve for x
    x = 3,067,863,412.14/76,108.50
  6. Step 6: Final answer
    x = 40,309.08

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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.