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Finding the Fourth Proportional to 50,097.80, 75,184.56 and 34,265

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Solution

The fourth proportional to 50,097.80, 75,184.56 and 34,265 is: 51,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,097.80 : 75,184.56 = 34,265 : x
  2. Step 2: Convert to fraction form
    50,097.80/75,184.56 = 34,265/x
  3. Step 3: Cross multiply
    50,097.80x = 75,184.56 × 34,265
  4. Step 4: Simplify right side
    50,097.80x = 2,576,198,948.40
  5. Step 5: Solve for x
    x = 2,576,198,948.40/50,097.80
  6. Step 6: Final answer
    x = 51,423.39

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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.