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Finding the Fourth Proportional to 41,188.50, 61,783.30 and 13,486.50

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Solution

The fourth proportional to 41,188.50, 61,783.30 and 13,486.50 is: 20,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,188.50 : 61,783.30 = 13,486.50 : x
  2. Step 2: Convert to fraction form
    41,188.50/61,783.30 = 13,486.50/x
  3. Step 3: Cross multiply
    41,188.50x = 61,783.30 × 13,486.50
  4. Step 4: Simplify right side
    41,188.50x = 833,240,475.45
  5. Step 5: Solve for x
    x = 833,240,475.45/41,188.50
  6. Step 6: Final answer
    x = 20,229.93

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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.