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Finding the Fourth Proportional to 50,920.68, 70,302.24 and 47,743.38

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Solution

The fourth proportional to 50,920.68, 70,302.24 and 47,743.38 is: 65,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,920.68 : 70,302.24 = 47,743.38 : x
  2. Step 2: Convert to fraction form
    50,920.68/70,302.24 = 47,743.38/x
  3. Step 3: Cross multiply
    50,920.68x = 70,302.24 × 47,743.38
  4. Step 4: Simplify right side
    50,920.68x = 3,356,466,824.04
  5. Step 5: Solve for x
    x = 3,356,466,824.04/50,920.68
  6. Step 6: Final answer
    x = 65,915.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.