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Finding the Fourth Proportional to 83,097.25, 114,672.62 and 50,829.50

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Solution

The fourth proportional to 83,097.25, 114,672.62 and 50,829.50 is: 70,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,097.25 : 114,672.62 = 50,829.50 : x
  2. Step 2: Convert to fraction form
    83,097.25/114,672.62 = 50,829.50/x
  3. Step 3: Cross multiply
    83,097.25x = 114,672.62 × 50,829.50
  4. Step 4: Simplify right side
    83,097.25x = 5,828,752,352.05
  5. Step 5: Solve for x
    x = 5,828,752,352.05/83,097.25
  6. Step 6: Final answer
    x = 70,143.75

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1.5x scale

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.