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Finding the Fourth Proportional to 94,132, 141,211.16 and 27,576.96

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Solution

The fourth proportional to 94,132, 141,211.16 and 27,576.96 is: 41,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,132 : 141,211.16 = 27,576.96 : x
  2. Step 2: Convert to fraction form
    94,132/141,211.16 = 27,576.96/x
  3. Step 3: Cross multiply
    94,132x = 141,211.16 × 27,576.96
  4. Step 4: Simplify right side
    94,132x = 3,894,174,510.87
  5. Step 5: Solve for x
    x = 3,894,174,510.87/94,132
  6. Step 6: Final answer
    x = 41,369.30

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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.