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Finding the Fourth Proportional to 76,013.46, 114,022.50 and 26,092.84

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Solution

The fourth proportional to 76,013.46, 114,022.50 and 26,092.84 is: 39,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,013.46 : 114,022.50 = 26,092.84 : x
  2. Step 2: Convert to fraction form
    76,013.46/114,022.50 = 26,092.84/x
  3. Step 3: Cross multiply
    76,013.46x = 114,022.50 × 26,092.84
  4. Step 4: Simplify right side
    76,013.46x = 2,975,170,848.90
  5. Step 5: Solve for x
    x = 2,975,170,848.90/76,013.46
  6. Step 6: Final answer
    x = 39,140.05

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