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Finding the Fourth Proportional to 50,946.60, 76,427.58 and 15,889

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Solution

The fourth proportional to 50,946.60, 76,427.58 and 15,889 is: 23,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,946.60 : 76,427.58 = 15,889 : x
  2. Step 2: Convert to fraction form
    50,946.60/76,427.58 = 15,889/x
  3. Step 3: Cross multiply
    50,946.60x = 76,427.58 × 15,889
  4. Step 4: Simplify right side
    50,946.60x = 1,214,357,818.62
  5. Step 5: Solve for x
    x = 1,214,357,818.62/50,946.60
  6. Step 6: Final answer
    x = 23,835.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.