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Finding the Fourth Proportional to 83,674.60, 125,511.90 and 31,078.60

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Solution

The fourth proportional to 83,674.60, 125,511.90 and 31,078.60 is: 46,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,674.60 : 125,511.90 = 31,078.60 : x
  2. Step 2: Convert to fraction form
    83,674.60/125,511.90 = 31,078.60/x
  3. Step 3: Cross multiply
    83,674.60x = 125,511.90 × 31,078.60
  4. Step 4: Simplify right side
    83,674.60x = 3,900,734,135.34
  5. Step 5: Solve for x
    x = 3,900,734,135.34/83,674.60
  6. Step 6: Final answer
    x = 46,617.90

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1.5x scale

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.