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Finding the Fourth Proportional to 40,870.48, 61,292.40 and 13,162

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Solution

The fourth proportional to 40,870.48, 61,292.40 and 13,162 is: 19,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,870.48 : 61,292.40 = 13,162 : x
  2. Step 2: Convert to fraction form
    40,870.48/61,292.40 = 13,162/x
  3. Step 3: Cross multiply
    40,870.48x = 61,292.40 × 13,162
  4. Step 4: Simplify right side
    40,870.48x = 806,730,568.80
  5. Step 5: Solve for x
    x = 806,730,568.80/40,870.48
  6. Step 6: Final answer
    x = 19,738.71

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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.