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Finding the Fourth Proportional to 76,379.16, 114,570.66 and 20,975

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Solution

The fourth proportional to 76,379.16, 114,570.66 and 20,975 is: 31,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,379.16 : 114,570.66 = 20,975 : x
  2. Step 2: Convert to fraction form
    76,379.16/114,570.66 = 20,975/x
  3. Step 3: Cross multiply
    76,379.16x = 114,570.66 × 20,975
  4. Step 4: Simplify right side
    76,379.16x = 2,403,119,593.50
  5. Step 5: Solve for x
    x = 2,403,119,593.50/76,379.16
  6. Step 6: Final answer
    x = 31,463.03

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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.