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Finding the Fourth Proportional to 92,242.60, 138,273.90 and 47,263.96

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Solution

The fourth proportional to 92,242.60, 138,273.90 and 47,263.96 is: 70,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,242.60 : 138,273.90 = 47,263.96 : x
  2. Step 2: Convert to fraction form
    92,242.60/138,273.90 = 47,263.96/x
  3. Step 3: Cross multiply
    92,242.60x = 138,273.90 × 47,263.96
  4. Step 4: Simplify right side
    92,242.60x = 6,535,372,078.64
  5. Step 5: Solve for x
    x = 6,535,372,078.64/92,242.60
  6. Step 6: Final answer
    x = 70,849.83

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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.