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Finding the Fourth Proportional to 50,974.60, 76,461.90 and 14,038.60

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Solution

The fourth proportional to 50,974.60, 76,461.90 and 14,038.60 is: 21,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.60 : 76,461.90 = 14,038.60 : x
  2. Step 2: Convert to fraction form
    50,974.60/76,461.90 = 14,038.60/x
  3. Step 3: Cross multiply
    50,974.60x = 76,461.90 × 14,038.60
  4. Step 4: Simplify right side
    50,974.60x = 1,073,418,029.34
  5. Step 5: Solve for x
    x = 1,073,418,029.34/50,974.60
  6. Step 6: Final answer
    x = 21,057.90

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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.