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Finding the Fourth Proportional to 34,163.60, 47,712.40 and 34,163.60

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Solution

The fourth proportional to 34,163.60, 47,712.40 and 34,163.60 is: 47,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,163.60 : 47,712.40 = 34,163.60 : x
  2. Step 2: Convert to fraction form
    34,163.60/47,712.40 = 34,163.60/x
  3. Step 3: Cross multiply
    34,163.60x = 47,712.40 × 34,163.60
  4. Step 4: Simplify right side
    34,163.60x = 1,630,027,348.64
  5. Step 5: Solve for x
    x = 1,630,027,348.64/34,163.60
  6. Step 6: Final answer
    x = 47,712.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.