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Finding the Fourth Proportional to 54,430.26, 81,670.50 and 24,857.16

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Solution

The fourth proportional to 54,430.26, 81,670.50 and 24,857.16 is: 37,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,430.26 : 81,670.50 = 24,857.16 : x
  2. Step 2: Convert to fraction form
    54,430.26/81,670.50 = 24,857.16/x
  3. Step 3: Cross multiply
    54,430.26x = 81,670.50 × 24,857.16
  4. Step 4: Simplify right side
    54,430.26x = 2,030,096,685.78
  5. Step 5: Solve for x
    x = 2,030,096,685.78/54,430.26
  6. Step 6: Final answer
    x = 37,297.21

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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.