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Finding the Fourth Proportional to 76,505.67, 114,776.96 and 26,578.50

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Solution

The fourth proportional to 76,505.67, 114,776.96 and 26,578.50 is: 39,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505.67 : 114,776.96 = 26,578.50 : x
  2. Step 2: Convert to fraction form
    76,505.67/114,776.96 = 26,578.50/x
  3. Step 3: Cross multiply
    76,505.67x = 114,776.96 × 26,578.50
  4. Step 4: Simplify right side
    76,505.67x = 3,050,599,298.47
  5. Step 5: Solve for x
    x = 3,050,599,298.47/76,505.67
  6. Step 6: Final answer
    x = 39,874.16

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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.