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Finding the Fourth Proportional to 57,240, 85,864.32 and 20,304

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Solution

The fourth proportional to 57,240, 85,864.32 and 20,304 is: 30,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 85,864.32 = 20,304 : x
  2. Step 2: Convert to fraction form
    57,240/85,864.32 = 20,304/x
  3. Step 3: Cross multiply
    57,240x = 85,864.32 × 20,304
  4. Step 4: Simplify right side
    57,240x = 1,743,389,153.28
  5. Step 5: Solve for x
    x = 1,743,389,153.28/57,240
  6. Step 6: Final answer
    x = 30,457.53

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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.