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Finding the Fourth Proportional to 135,784.27, 203,627.80 and 47,013.94

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Solution

The fourth proportional to 135,784.27, 203,627.80 and 47,013.94 is: 70,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,784.27 : 203,627.80 = 47,013.94 : x
  2. Step 2: Convert to fraction form
    135,784.27/203,627.80 = 47,013.94/x
  3. Step 3: Cross multiply
    135,784.27x = 203,627.80 × 47,013.94
  4. Step 4: Simplify right side
    135,784.27x = 9,573,345,171.53
  5. Step 5: Solve for x
    x = 9,573,345,171.53/135,784.27
  6. Step 6: Final answer
    x = 70,504.08

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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.