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Finding the Fourth Proportional to 92,419.80, 138,629.70 and 50,947.80

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Solution

The fourth proportional to 92,419.80, 138,629.70 and 50,947.80 is: 76,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,419.80 : 138,629.70 = 50,947.80 : x
  2. Step 2: Convert to fraction form
    92,419.80/138,629.70 = 50,947.80/x
  3. Step 3: Cross multiply
    92,419.80x = 138,629.70 × 50,947.80
  4. Step 4: Simplify right side
    92,419.80x = 7,062,878,229.66
  5. Step 5: Solve for x
    x = 7,062,878,229.66/92,419.80
  6. Step 6: Final answer
    x = 76,421.70

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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.