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Finding the Fourth Proportional to 47,013, 70,516.89 and 34,375.71

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Solution

The fourth proportional to 47,013, 70,516.89 and 34,375.71 is: 51,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,013 : 70,516.89 = 34,375.71 : x
  2. Step 2: Convert to fraction form
    47,013/70,516.89 = 34,375.71/x
  3. Step 3: Cross multiply
    47,013x = 70,516.89 × 34,375.71
  4. Step 4: Simplify right side
    47,013x = 2,424,068,160.74
  5. Step 5: Solve for x
    x = 2,424,068,160.74/47,013
  6. Step 6: Final answer
    x = 51,561.66

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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.