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Finding the Fourth Proportional to 49,416.57, 74,125.76 and 17,829

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Solution

The fourth proportional to 49,416.57, 74,125.76 and 17,829 is: 26,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.57 : 74,125.76 = 17,829 : x
  2. Step 2: Convert to fraction form
    49,416.57/74,125.76 = 17,829/x
  3. Step 3: Cross multiply
    49,416.57x = 74,125.76 × 17,829
  4. Step 4: Simplify right side
    49,416.57x = 1,321,588,175.04
  5. Step 5: Solve for x
    x = 1,321,588,175.04/49,416.57
  6. Step 6: Final answer
    x = 26,743.83

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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.