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Finding the Fourth Proportional to 83,276.94, 114,934.32 and 47,470.62

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Solution

The fourth proportional to 83,276.94, 114,934.32 and 47,470.62 is: 65,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,276.94 : 114,934.32 = 47,470.62 : x
  2. Step 2: Convert to fraction form
    83,276.94/114,934.32 = 47,470.62/x
  3. Step 3: Cross multiply
    83,276.94x = 114,934.32 × 47,470.62
  4. Step 4: Simplify right side
    83,276.94x = 5,456,003,429.68
  5. Step 5: Solve for x
    x = 5,456,003,429.68/83,276.94
  6. Step 6: Final answer
    x = 65,516.38

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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.