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Finding the Fourth Proportional to 34,342.77, 47,400.35 and 20,203.68

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Solution

The fourth proportional to 34,342.77, 47,400.35 and 20,203.68 is: 27,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,342.77 : 47,400.35 = 20,203.68 : x
  2. Step 2: Convert to fraction form
    34,342.77/47,400.35 = 20,203.68/x
  3. Step 3: Cross multiply
    34,342.77x = 47,400.35 × 20,203.68
  4. Step 4: Simplify right side
    34,342.77x = 957,661,402.27
  5. Step 5: Solve for x
    x = 957,661,402.27/34,342.77
  6. Step 6: Final answer
    x = 27,885.39

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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.