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Finding the Fourth Proportional to 50,753.06, 70,041.09 and 27,784.49

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Solution

The fourth proportional to 50,753.06, 70,041.09 and 27,784.49 is: 38,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,753.06 : 70,041.09 = 27,784.49 : x
  2. Step 2: Convert to fraction form
    50,753.06/70,041.09 = 27,784.49/x
  3. Step 3: Cross multiply
    50,753.06x = 70,041.09 × 27,784.49
  4. Step 4: Simplify right side
    50,753.06x = 1,946,055,614.49
  5. Step 5: Solve for x
    x = 1,946,055,614.49/50,753.06
  6. Step 6: Final answer
    x = 38,343.62

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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.