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Finding the Fourth Proportional to 114,548, 171,646.60 and 47,951.84

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Solution

The fourth proportional to 114,548, 171,646.60 and 47,951.84 is: 71,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,548 : 171,646.60 = 47,951.84 : x
  2. Step 2: Convert to fraction form
    114,548/171,646.60 = 47,951.84/x
  3. Step 3: Cross multiply
    114,548x = 171,646.60 × 47,951.84
  4. Step 4: Simplify right side
    114,548x = 8,230,770,299.74
  5. Step 5: Solve for x
    x = 8,230,770,299.74/114,548
  6. Step 6: Final answer
    x = 71,854.33

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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.