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Finding the Fourth Proportional to 77,630.70, 116,470.66 and 27,709.70

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Solution

The fourth proportional to 77,630.70, 116,470.66 and 27,709.70 is: 41,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,630.70 : 116,470.66 = 27,709.70 : x
  2. Step 2: Convert to fraction form
    77,630.70/116,470.66 = 27,709.70/x
  3. Step 3: Cross multiply
    77,630.70x = 116,470.66 × 27,709.70
  4. Step 4: Simplify right side
    77,630.70x = 3,227,367,047.40
  5. Step 5: Solve for x
    x = 3,227,367,047.40/77,630.70
  6. Step 6: Final answer
    x = 41,573.33

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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.