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Finding the Fourth Proportional to 114,258.60, 171,403.83 and 47,683.49

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Solution

The fourth proportional to 114,258.60, 171,403.83 and 47,683.49 is: 71,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,258.60 : 171,403.83 = 47,683.49 : x
  2. Step 2: Convert to fraction form
    114,258.60/171,403.83 = 47,683.49/x
  3. Step 3: Cross multiply
    114,258.60x = 171,403.83 × 47,683.49
  4. Step 4: Simplify right side
    114,258.60x = 8,173,131,956.75
  5. Step 5: Solve for x
    x = 8,173,131,956.75/114,258.60
  6. Step 6: Final answer
    x = 71,531.88

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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.