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Finding the Fourth Proportional to 41,202.50, 61,767.10 and 14,901.40

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Solution

The fourth proportional to 41,202.50, 61,767.10 and 14,901.40 is: 22,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202.50 : 61,767.10 = 14,901.40 : x
  2. Step 2: Convert to fraction form
    41,202.50/61,767.10 = 14,901.40/x
  3. Step 3: Cross multiply
    41,202.50x = 61,767.10 × 14,901.40
  4. Step 4: Simplify right side
    41,202.50x = 920,416,263.94
  5. Step 5: Solve for x
    x = 920,416,263.94/41,202.50
  6. Step 6: Final answer
    x = 22,338.85

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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.