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Finding the Fourth Proportional to 117,429.80, 176,144.70 and 38,546.60

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Solution

The fourth proportional to 117,429.80, 176,144.70 and 38,546.60 is: 57,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,429.80 : 176,144.70 = 38,546.60 : x
  2. Step 2: Convert to fraction form
    117,429.80/176,144.70 = 38,546.60/x
  3. Step 3: Cross multiply
    117,429.80x = 176,144.70 × 38,546.60
  4. Step 4: Simplify right side
    117,429.80x = 6,789,779,293.02
  5. Step 5: Solve for x
    x = 6,789,779,293.02/117,429.80
  6. Step 6: Final answer
    x = 57,819.90

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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.