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Finding the Fourth Proportional to 51,411.70, 77,123.02 and 16,343.16

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Solution

The fourth proportional to 51,411.70, 77,123.02 and 16,343.16 is: 24,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,411.70 : 77,123.02 = 16,343.16 : x
  2. Step 2: Convert to fraction form
    51,411.70/77,123.02 = 16,343.16/x
  3. Step 3: Cross multiply
    51,411.70x = 77,123.02 × 16,343.16
  4. Step 4: Simplify right side
    51,411.70x = 1,260,433,855.54
  5. Step 5: Solve for x
    x = 1,260,433,855.54/51,411.70
  6. Step 6: Final answer
    x = 24,516.48

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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.