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Finding the Fourth Proportional to 65,452.50, 98,178.75 and 16,204.50

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Solution

The fourth proportional to 65,452.50, 98,178.75 and 16,204.50 is: 24,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452.50 : 98,178.75 = 16,204.50 : x
  2. Step 2: Convert to fraction form
    65,452.50/98,178.75 = 16,204.50/x
  3. Step 3: Cross multiply
    65,452.50x = 98,178.75 × 16,204.50
  4. Step 4: Simplify right side
    65,452.50x = 1,590,937,554.38
  5. Step 5: Solve for x
    x = 1,590,937,554.38/65,452.50
  6. Step 6: Final answer
    x = 24,306.75

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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.