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Finding the Fourth Proportional to 40,861.50, 61,292.25 and 13,159.50

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Solution

The fourth proportional to 40,861.50, 61,292.25 and 13,159.50 is: 19,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,861.50 : 61,292.25 = 13,159.50 : x
  2. Step 2: Convert to fraction form
    40,861.50/61,292.25 = 13,159.50/x
  3. Step 3: Cross multiply
    40,861.50x = 61,292.25 × 13,159.50
  4. Step 4: Simplify right side
    40,861.50x = 806,575,363.88
  5. Step 5: Solve for x
    x = 806,575,363.88/40,861.50
  6. Step 6: Final answer
    x = 19,739.25

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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.