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Finding the Fourth Proportional to 50,307.68, 69,420.09 and 27,646.41

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Solution

The fourth proportional to 50,307.68, 69,420.09 and 27,646.41 is: 38,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,307.68 : 69,420.09 = 27,646.41 : x
  2. Step 2: Convert to fraction form
    50,307.68/69,420.09 = 27,646.41/x
  3. Step 3: Cross multiply
    50,307.68x = 69,420.09 × 27,646.41
  4. Step 4: Simplify right side
    50,307.68x = 1,919,216,478.87
  5. Step 5: Solve for x
    x = 1,919,216,478.87/50,307.68
  6. Step 6: Final answer
    x = 38,149.57

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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.