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Finding the Fourth Proportional to 92,214.56, 138,416.62 and 47,829.40

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Solution

The fourth proportional to 92,214.56, 138,416.62 and 47,829.40 is: 71,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214.56 : 138,416.62 = 47,829.40 : x
  2. Step 2: Convert to fraction form
    92,214.56/138,416.62 = 47,829.40/x
  3. Step 3: Cross multiply
    92,214.56x = 138,416.62 × 47,829.40
  4. Step 4: Simplify right side
    92,214.56x = 6,620,383,884.63
  5. Step 5: Solve for x
    x = 6,620,383,884.63/92,214.56
  6. Step 6: Final answer
    x = 71,793.26

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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.