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Finding the Fourth Proportional to 41,065.14, 61,588.80 and 16,097.16

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Solution

The fourth proportional to 41,065.14, 61,588.80 and 16,097.16 is: 24,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,065.14 : 61,588.80 = 16,097.16 : x
  2. Step 2: Convert to fraction form
    41,065.14/61,588.80 = 16,097.16/x
  3. Step 3: Cross multiply
    41,065.14x = 61,588.80 × 16,097.16
  4. Step 4: Simplify right side
    41,065.14x = 991,404,767.81
  5. Step 5: Solve for x
    x = 991,404,767.81/41,065.14
  6. Step 6: Final answer
    x = 24,142.25

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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.