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Finding the Fourth Proportional to 41,097.84, 56,715 and 23,196.60

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Solution

The fourth proportional to 41,097.84, 56,715 and 23,196.60 is: 32,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.84 : 56,715 = 23,196.60 : x
  2. Step 2: Convert to fraction form
    41,097.84/56,715 = 23,196.60/x
  3. Step 3: Cross multiply
    41,097.84x = 56,715 × 23,196.60
  4. Step 4: Simplify right side
    41,097.84x = 1,315,595,169
  5. Step 5: Solve for x
    x = 1,315,595,169/41,097.84
  6. Step 6: Final answer
    x = 32,011.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.