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Finding the Fourth Proportional to 97,968, 146,952.72 and 24,096

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Solution

The fourth proportional to 97,968, 146,952.72 and 24,096 is: 36,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,968 : 146,952.72 = 24,096 : x
  2. Step 2: Convert to fraction form
    97,968/146,952.72 = 24,096/x
  3. Step 3: Cross multiply
    97,968x = 146,952.72 × 24,096
  4. Step 4: Simplify right side
    97,968x = 3,540,972,741.12
  5. Step 5: Solve for x
    x = 3,540,972,741.12/97,968
  6. Step 6: Final answer
    x = 36,144.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.