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Finding the Fourth Proportional to 41,201.50, 61,765.60 and 14,900.40

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Solution

The fourth proportional to 41,201.50, 61,765.60 and 14,900.40 is: 22,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201.50 : 61,765.60 = 14,900.40 : x
  2. Step 2: Convert to fraction form
    41,201.50/61,765.60 = 14,900.40/x
  3. Step 3: Cross multiply
    41,201.50x = 61,765.60 × 14,900.40
  4. Step 4: Simplify right side
    41,201.50x = 920,331,800.16
  5. Step 5: Solve for x
    x = 920,331,800.16/41,201.50
  6. Step 6: Final answer
    x = 22,337.34

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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.