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Finding the Fourth Proportional to 34,602.52, 47,753.64 and 20,069.66

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Solution

The fourth proportional to 34,602.52, 47,753.64 and 20,069.66 is: 27,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.52 : 47,753.64 = 20,069.66 : x
  2. Step 2: Convert to fraction form
    34,602.52/47,753.64 = 20,069.66/x
  3. Step 3: Cross multiply
    34,602.52x = 47,753.64 × 20,069.66
  4. Step 4: Simplify right side
    34,602.52x = 958,399,318.56
  5. Step 5: Solve for x
    x = 958,399,318.56/34,602.52
  6. Step 6: Final answer
    x = 27,697.39

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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.