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Finding the Fourth Proportional to 70,013.94, 105,034.58 and 22,640.80

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Solution

The fourth proportional to 70,013.94, 105,034.58 and 22,640.80 is: 33,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,013.94 : 105,034.58 = 22,640.80 : x
  2. Step 2: Convert to fraction form
    70,013.94/105,034.58 = 22,640.80/x
  3. Step 3: Cross multiply
    70,013.94x = 105,034.58 × 22,640.80
  4. Step 4: Simplify right side
    70,013.94x = 2,378,066,918.86
  5. Step 5: Solve for x
    x = 2,378,066,918.86/70,013.94
  6. Step 6: Final answer
    x = 33,965.62

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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.