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Finding the Fourth Proportional to 34,784.26, 52,165.59 and 11,405.50

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Solution

The fourth proportional to 34,784.26, 52,165.59 and 11,405.50 is: 17,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,784.26 : 52,165.59 = 11,405.50 : x
  2. Step 2: Convert to fraction form
    34,784.26/52,165.59 = 11,405.50/x
  3. Step 3: Cross multiply
    34,784.26x = 52,165.59 × 11,405.50
  4. Step 4: Simplify right side
    34,784.26x = 594,974,636.75
  5. Step 5: Solve for x
    x = 594,974,636.75/34,784.26
  6. Step 6: Final answer
    x = 17,104.71

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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.