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Finding the Fourth Proportional to 107,071.34, 160,608.29 and 50,916.87

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Solution

The fourth proportional to 107,071.34, 160,608.29 and 50,916.87 is: 76,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071.34 : 160,608.29 = 50,916.87 : x
  2. Step 2: Convert to fraction form
    107,071.34/160,608.29 = 50,916.87/x
  3. Step 3: Cross multiply
    107,071.34x = 160,608.29 × 50,916.87
  4. Step 4: Simplify right side
    107,071.34x = 8,177,671,168.27
  5. Step 5: Solve for x
    x = 8,177,671,168.27/107,071.34
  6. Step 6: Final answer
    x = 76,375.91

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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.