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Finding the Fourth Proportional to 114,338.60, 171,507.98 and 47,742.44

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Solution

The fourth proportional to 114,338.60, 171,507.98 and 47,742.44 is: 71,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,338.60 : 171,507.98 = 47,742.44 : x
  2. Step 2: Convert to fraction form
    114,338.60/171,507.98 = 47,742.44/x
  3. Step 3: Cross multiply
    114,338.60x = 171,507.98 × 47,742.44
  4. Step 4: Simplify right side
    114,338.60x = 8,188,209,444.67
  5. Step 5: Solve for x
    x = 8,188,209,444.67/114,338.60
  6. Step 6: Final answer
    x = 71,613.69

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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.