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Finding the Fourth Proportional to 73,946.75, 102,046.56 and 40,412.75

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Solution

The fourth proportional to 73,946.75, 102,046.56 and 40,412.75 is: 55,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,946.75 : 102,046.56 = 40,412.75 : x
  2. Step 2: Convert to fraction form
    73,946.75/102,046.56 = 40,412.75/x
  3. Step 3: Cross multiply
    73,946.75x = 102,046.56 × 40,412.75
  4. Step 4: Simplify right side
    73,946.75x = 4,123,982,117.64
  5. Step 5: Solve for x
    x = 4,123,982,117.64/73,946.75
  6. Step 6: Final answer
    x = 55,769.62

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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.